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Finding the Third Proportional to 512,557.50 and 781,479

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Solution

The third proportional to 512,557.50 and 781,479 is: 1,191,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,557.50 : 781,479 = 781,479 : x
  2. Step 2: Convert to fraction form
    512,557.50/781,479 = 781,479/x
  3. Step 3: Cross multiply
    512,557.50x = 781,479 × 781,479
  4. Step 4: Simplify right side
    512,557.50x = 610,709,427,441
  5. Step 5: Solve for x
    x = 610,709,427,441/512,557.50
  6. Step 6: Final answer
    x = 1,191,494.47

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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.