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Finding the Third Proportional to 170,476 and 260,902

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Solution

The third proportional to 170,476 and 260,902 is: 399,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,476 : 260,902 = 260,902 : x
  2. Step 2: Convert to fraction form
    170,476/260,902 = 260,902/x
  3. Step 3: Cross multiply
    170,476x = 260,902 × 260,902
  4. Step 4: Simplify right side
    170,476x = 68,069,853,604
  5. Step 5: Solve for x
    x = 68,069,853,604/170,476
  6. Step 6: Final answer
    x = 399,292.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.