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Finding the Third Proportional to 522,460 and 781,664

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Solution

The third proportional to 522,460 and 781,664 is: 1,169,464.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,460 : 781,664 = 781,664 : x
  2. Step 2: Convert to fraction form
    522,460/781,664 = 781,664/x
  3. Step 3: Cross multiply
    522,460x = 781,664 × 781,664
  4. Step 4: Simplify right side
    522,460x = 610,998,608,896
  5. Step 5: Solve for x
    x = 610,998,608,896/522,460
  6. Step 6: Final answer
    x = 1,169,464.86

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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.