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Finding the Third Proportional to 31,765,779 and 67,345,785

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Solution

The third proportional to 31,765,779 and 67,345,785 is: 142,778,011.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,765,779 : 67,345,785 = 67,345,785 : x
  2. Step 2: Convert to fraction form
    31,765,779/67,345,785 = 67,345,785/x
  3. Step 3: Cross multiply
    31,765,779x = 67,345,785 × 67,345,785
  4. Step 4: Simplify right side
    31,765,779x = 4,535,454,757,266,225
  5. Step 5: Solve for x
    x = 4,535,454,757,266,225/31,765,779
  6. Step 6: Final answer
    x = 142,778,011.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.