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Finding the Third Proportional to 29,681 and 63,970

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Solution

The third proportional to 29,681 and 63,970 is: 137,871.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,681 : 63,970 = 63,970 : x
  2. Step 2: Convert to fraction form
    29,681/63,970 = 63,970/x
  3. Step 3: Cross multiply
    29,681x = 63,970 × 63,970
  4. Step 4: Simplify right side
    29,681x = 4,092,160,900
  5. Step 5: Solve for x
    x = 4,092,160,900/29,681
  6. Step 6: Final answer
    x = 137,871.40

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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.