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Finding the Third Proportional to 389,442 and 601,359

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Solution

The third proportional to 389,442 and 601,359 is: 928,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,442 : 601,359 = 601,359 : x
  2. Step 2: Convert to fraction form
    389,442/601,359 = 601,359/x
  3. Step 3: Cross multiply
    389,442x = 601,359 × 601,359
  4. Step 4: Simplify right side
    389,442x = 361,632,646,881
  5. Step 5: Solve for x
    x = 361,632,646,881/389,442
  6. Step 6: Final answer
    x = 928,591.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.