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Finding the Third Proportional to 292,434 and 440,811

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Solution

The third proportional to 292,434 and 440,811 is: 664,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,434 : 440,811 = 440,811 : x
  2. Step 2: Convert to fraction form
    292,434/440,811 = 440,811/x
  3. Step 3: Cross multiply
    292,434x = 440,811 × 440,811
  4. Step 4: Simplify right side
    292,434x = 194,314,337,721
  5. Step 5: Solve for x
    x = 194,314,337,721/292,434
  6. Step 6: Final answer
    x = 664,472.45

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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.