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Finding the Third Proportional to 159,700 and 338,872

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Solution

The third proportional to 159,700 and 338,872 is: 719,062.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,700 : 338,872 = 338,872 : x
  2. Step 2: Convert to fraction form
    159,700/338,872 = 338,872/x
  3. Step 3: Cross multiply
    159,700x = 338,872 × 338,872
  4. Step 4: Simplify right side
    159,700x = 114,834,232,384
  5. Step 5: Solve for x
    x = 114,834,232,384/159,700
  6. Step 6: Final answer
    x = 719,062.19

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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.