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Finding the Third Proportional to 512,438 and 710,536

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Solution

The third proportional to 512,438 and 710,536 is: 985,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,438 : 710,536 = 710,536 : x
  2. Step 2: Convert to fraction form
    512,438/710,536 = 710,536/x
  3. Step 3: Cross multiply
    512,438x = 710,536 × 710,536
  4. Step 4: Simplify right side
    512,438x = 504,861,407,296
  5. Step 5: Solve for x
    x = 504,861,407,296/512,438
  6. Step 6: Final answer
    x = 985,214.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.