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Finding the Third Proportional to 457,528 and 660,040

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Solution

The third proportional to 457,528 and 660,040 is: 952,188.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,528 : 660,040 = 660,040 : x
  2. Step 2: Convert to fraction form
    457,528/660,040 = 660,040/x
  3. Step 3: Cross multiply
    457,528x = 660,040 × 660,040
  4. Step 4: Simplify right side
    457,528x = 435,652,801,600
  5. Step 5: Solve for x
    x = 435,652,801,600/457,528
  6. Step 6: Final answer
    x = 952,188.28

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.