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Finding the Third Proportional to 457,516 and 660,028

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Solution

The third proportional to 457,516 and 660,028 is: 952,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,516 : 660,028 = 660,028 : x
  2. Step 2: Convert to fraction form
    457,516/660,028 = 660,028/x
  3. Step 3: Cross multiply
    457,516x = 660,028 × 660,028
  4. Step 4: Simplify right side
    457,516x = 435,636,960,784
  5. Step 5: Solve for x
    x = 435,636,960,784/457,516
  6. Step 6: Final answer
    x = 952,178.64

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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.