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Finding the Third Proportional to 340,782 and 515,950

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Solution

The third proportional to 340,782 and 515,950 is: 781,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,782 : 515,950 = 515,950 : x
  2. Step 2: Convert to fraction form
    340,782/515,950 = 515,950/x
  3. Step 3: Cross multiply
    340,782x = 515,950 × 515,950
  4. Step 4: Simplify right side
    340,782x = 266,204,402,500
  5. Step 5: Solve for x
    x = 266,204,402,500/340,782
  6. Step 6: Final answer
    x = 781,157.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.