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Finding the Third Proportional to 512,406 and 781,002

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Solution

The third proportional to 512,406 and 781,002 is: 1,190,392.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,406 : 781,002 = 781,002 : x
  2. Step 2: Convert to fraction form
    512,406/781,002 = 781,002/x
  3. Step 3: Cross multiply
    512,406x = 781,002 × 781,002
  4. Step 4: Simplify right side
    512,406x = 609,964,124,004
  5. Step 5: Solve for x
    x = 609,964,124,004/512,406
  6. Step 6: Final answer
    x = 1,190,392.24

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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.