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Finding the Third Proportional to 498,967 and 781,831

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Solution

The third proportional to 498,967 and 781,831 is: 1,225,050.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,967 : 781,831 = 781,831 : x
  2. Step 2: Convert to fraction form
    498,967/781,831 = 781,831/x
  3. Step 3: Cross multiply
    498,967x = 781,831 × 781,831
  4. Step 4: Simplify right side
    498,967x = 611,259,712,561
  5. Step 5: Solve for x
    x = 611,259,712,561/498,967
  6. Step 6: Final answer
    x = 1,225,050.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.