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Finding the Third Proportional to 340,995 and 516,231

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Solution

The third proportional to 340,995 and 516,231 is: 781,520.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,995 : 516,231 = 516,231 : x
  2. Step 2: Convert to fraction form
    340,995/516,231 = 516,231/x
  3. Step 3: Cross multiply
    340,995x = 516,231 × 516,231
  4. Step 4: Simplify right side
    340,995x = 266,494,445,361
  5. Step 5: Solve for x
    x = 266,494,445,361/340,995
  6. Step 6: Final answer
    x = 781,520.10

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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.