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Finding the Third Proportional to 31,383,683 and 67,721,638

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Solution

The third proportional to 31,383,683 and 67,721,638 is: 146,133,908.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,383,683 : 67,721,638 = 67,721,638 : x
  2. Step 2: Convert to fraction form
    31,383,683/67,721,638 = 67,721,638/x
  3. Step 3: Cross multiply
    31,383,683x = 67,721,638 × 67,721,638
  4. Step 4: Simplify right side
    31,383,683x = 4,586,220,253,403,044
  5. Step 5: Solve for x
    x = 4,586,220,253,403,044/31,383,683
  6. Step 6: Final answer
    x = 146,133,908.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.