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Finding the Third Proportional to 83,020 and 129,714

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Solution

The third proportional to 83,020 and 129,714 is: 202,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,020 : 129,714 = 129,714 : x
  2. Step 2: Convert to fraction form
    83,020/129,714 = 129,714/x
  3. Step 3: Cross multiply
    83,020x = 129,714 × 129,714
  4. Step 4: Simplify right side
    83,020x = 16,825,721,796
  5. Step 5: Solve for x
    x = 16,825,721,796/83,020
  6. Step 6: Final answer
    x = 202,670.70

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.