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Finding the Third Proportional to 477,000 and 645,516

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Solution

The third proportional to 477,000 and 645,516 is: 873,565.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,000 : 645,516 = 645,516 : x
  2. Step 2: Convert to fraction form
    477,000/645,516 = 645,516/x
  3. Step 3: Cross multiply
    477,000x = 645,516 × 645,516
  4. Step 4: Simplify right side
    477,000x = 416,690,906,256
  5. Step 5: Solve for x
    x = 416,690,906,256/477,000
  6. Step 6: Final answer
    x = 873,565.84

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.