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Finding the Third Proportional to 360,942 and 413,430

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Solution

The third proportional to 360,942 and 413,430 is: 473,550.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,942 : 413,430 = 413,430 : x
  2. Step 2: Convert to fraction form
    360,942/413,430 = 413,430/x
  3. Step 3: Cross multiply
    360,942x = 413,430 × 413,430
  4. Step 4: Simplify right side
    360,942x = 170,924,364,900
  5. Step 5: Solve for x
    x = 170,924,364,900/360,942
  6. Step 6: Final answer
    x = 473,550.78

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.