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Finding the Third Proportional to 292,413 and 440,780

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Solution

The third proportional to 292,413 and 440,780 is: 664,426.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,413 : 440,780 = 440,780 : x
  2. Step 2: Convert to fraction form
    292,413/440,780 = 440,780/x
  3. Step 3: Cross multiply
    292,413x = 440,780 × 440,780
  4. Step 4: Simplify right side
    292,413x = 194,287,008,400
  5. Step 5: Solve for x
    x = 194,287,008,400/292,413
  6. Step 6: Final answer
    x = 664,426.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.