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Finding the Third Proportional to 169,217 and 371,902

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Solution

The third proportional to 169,217 and 371,902 is: 817,359.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,217 : 371,902 = 371,902 : x
  2. Step 2: Convert to fraction form
    169,217/371,902 = 371,902/x
  3. Step 3: Cross multiply
    169,217x = 371,902 × 371,902
  4. Step 4: Simplify right side
    169,217x = 138,311,097,604
  5. Step 5: Solve for x
    x = 138,311,097,604/169,217
  6. Step 6: Final answer
    x = 817,359.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.