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Finding the Third Proportional to 258,488 and 349,156

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Solution

The third proportional to 258,488 and 349,156 is: 471,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,488 : 349,156 = 349,156 : x
  2. Step 2: Convert to fraction form
    258,488/349,156 = 349,156/x
  3. Step 3: Cross multiply
    258,488x = 349,156 × 349,156
  4. Step 4: Simplify right side
    258,488x = 121,909,912,336
  5. Step 5: Solve for x
    x = 121,909,912,336/258,488
  6. Step 6: Final answer
    x = 471,626.97

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.