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Finding the Third Proportional to 512,526 and 781,425

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Solution

The third proportional to 512,526 and 781,425 is: 1,191,403.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,526 : 781,425 = 781,425 : x
  2. Step 2: Convert to fraction form
    512,526/781,425 = 781,425/x
  3. Step 3: Cross multiply
    512,526x = 781,425 × 781,425
  4. Step 4: Simplify right side
    512,526x = 610,625,030,625
  5. Step 5: Solve for x
    x = 610,625,030,625/512,526
  6. Step 6: Final answer
    x = 1,191,403.03

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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.