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Finding the Third Proportional to 169,389 and 357,570

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Solution

The third proportional to 169,389 and 357,570 is: 754,808.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,389 : 357,570 = 357,570 : x
  2. Step 2: Convert to fraction form
    169,389/357,570 = 357,570/x
  3. Step 3: Cross multiply
    169,389x = 357,570 × 357,570
  4. Step 4: Simplify right side
    169,389x = 127,856,304,900
  5. Step 5: Solve for x
    x = 127,856,304,900/169,389
  6. Step 6: Final answer
    x = 754,808.78

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.