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Finding the Third Proportional to 361,780 and 531,831

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Solution

The third proportional to 361,780 and 531,831 is: 781,812.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,780 : 531,831 = 531,831 : x
  2. Step 2: Convert to fraction form
    361,780/531,831 = 531,831/x
  3. Step 3: Cross multiply
    361,780x = 531,831 × 531,831
  4. Step 4: Simplify right side
    361,780x = 282,844,212,561
  5. Step 5: Solve for x
    x = 282,844,212,561/361,780
  6. Step 6: Final answer
    x = 781,812.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.