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Finding the Third Proportional to 231,090 and 344,718

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Solution

The third proportional to 231,090 and 344,718 is: 514,217.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,090 : 344,718 = 344,718 : x
  2. Step 2: Convert to fraction form
    231,090/344,718 = 344,718/x
  3. Step 3: Cross multiply
    231,090x = 344,718 × 344,718
  4. Step 4: Simplify right side
    231,090x = 118,830,499,524
  5. Step 5: Solve for x
    x = 118,830,499,524/231,090
  6. Step 6: Final answer
    x = 514,217.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.