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Finding the Third Proportional to 130,020 and 206,872

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Solution

The third proportional to 130,020 and 206,872 is: 329,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,020 : 206,872 = 206,872 : x
  2. Step 2: Convert to fraction form
    130,020/206,872 = 206,872/x
  3. Step 3: Cross multiply
    130,020x = 206,872 × 206,872
  4. Step 4: Simplify right side
    130,020x = 42,796,024,384
  5. Step 5: Solve for x
    x = 42,796,024,384/130,020
  6. Step 6: Final answer
    x = 329,149.55

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.