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Finding the Third Proportional to 522,480 and 781,695

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Solution

The third proportional to 522,480 and 781,695 is: 1,169,512.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,480 : 781,695 = 781,695 : x
  2. Step 2: Convert to fraction form
    522,480/781,695 = 781,695/x
  3. Step 3: Cross multiply
    522,480x = 781,695 × 781,695
  4. Step 4: Simplify right side
    522,480x = 611,047,073,025
  5. Step 5: Solve for x
    x = 611,047,073,025/522,480
  6. Step 6: Final answer
    x = 1,169,512.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.