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Finding the Third Proportional to 51,046,484 and 78,461,751

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Solution

The third proportional to 51,046,484 and 78,461,751 is: 120,600,791.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,046,484 : 78,461,751 = 78,461,751 : x
  2. Step 2: Convert to fraction form
    51,046,484/78,461,751 = 78,461,751/x
  3. Step 3: Cross multiply
    51,046,484x = 78,461,751 × 78,461,751
  4. Step 4: Simplify right side
    51,046,484x = 6,156,246,369,986,001
  5. Step 5: Solve for x
    x = 6,156,246,369,986,001/51,046,484
  6. Step 6: Final answer
    x = 120,600,791.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.