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Finding the Third Proportional to 82,250,056 and 127,767,775

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Solution

The third proportional to 82,250,056 and 127,767,775 is: 198,475,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,250,056 : 127,767,775 = 127,767,775 : x
  2. Step 2: Convert to fraction form
    82,250,056/127,767,775 = 127,767,775/x
  3. Step 3: Cross multiply
    82,250,056x = 127,767,775 × 127,767,775
  4. Step 4: Simplify right side
    82,250,056x = 16,324,604,328,450,624
  5. Step 5: Solve for x
    x = 16,324,604,328,450,624/82,250,056
  6. Step 6: Final answer
    x = 198,475,297.43

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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.