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Finding the Third Proportional to 522,485 and 781,701

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Solution

The third proportional to 522,485 and 781,701 is: 1,169,519.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,485 : 781,701 = 781,701 : x
  2. Step 2: Convert to fraction form
    522,485/781,701 = 781,701/x
  3. Step 3: Cross multiply
    522,485x = 781,701 × 781,701
  4. Step 4: Simplify right side
    522,485x = 611,056,453,401
  5. Step 5: Solve for x
    x = 611,056,453,401/522,485
  6. Step 6: Final answer
    x = 1,169,519.61

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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.