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Finding the Third Proportional to 512,539.50 and 781,446

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Solution

The third proportional to 512,539.50 and 781,446 is: 1,191,435.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,539.50 : 781,446 = 781,446 : x
  2. Step 2: Convert to fraction form
    512,539.50/781,446 = 781,446/x
  3. Step 3: Cross multiply
    512,539.50x = 781,446 × 781,446
  4. Step 4: Simplify right side
    512,539.50x = 610,657,850,916
  5. Step 5: Solve for x
    x = 610,657,850,916/512,539.50
  6. Step 6: Final answer
    x = 1,191,435.69

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.