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Finding the Third Proportional to 479,118,930,440 and 744,248,107,472

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Solution

The third proportional to 479,118,930,440 and 744,248,107,472 is: 1,156,091,338,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,118,930,440 : 744,248,107,472 = 744,248,107,472 : x
  2. Step 2: Convert to fraction form
    479,118,930,440/744,248,107,472 = 744,248,107,472/x
  3. Step 3: Cross multiply
    479,118,930,440x = 744,248,107,472 × 744,248,107,472
  4. Step 4: Simplify right side
    479,118,930,440x = 553,905,245,475,653,633,966,080
  5. Step 5: Solve for x
    x = 553,905,245,475,653,633,966,080/479,118,930,440
  6. Step 6: Final answer
    x = 1,156,091,338,254.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.