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Finding the Third Proportional to 231,959 and 359,163

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Solution

The third proportional to 231,959 and 359,163 is: 556,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,959 : 359,163 = 359,163 : x
  2. Step 2: Convert to fraction form
    231,959/359,163 = 359,163/x
  3. Step 3: Cross multiply
    231,959x = 359,163 × 359,163
  4. Step 4: Simplify right side
    231,959x = 128,998,060,569
  5. Step 5: Solve for x
    x = 128,998,060,569/231,959
  6. Step 6: Final answer
    x = 556,124.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.