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Finding the Third Proportional to 144,396 and 215,397

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Solution

The third proportional to 144,396 and 215,397 is: 321,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,396 : 215,397 = 215,397 : x
  2. Step 2: Convert to fraction form
    144,396/215,397 = 215,397/x
  3. Step 3: Cross multiply
    144,396x = 215,397 × 215,397
  4. Step 4: Simplify right side
    144,396x = 46,395,867,609
  5. Step 5: Solve for x
    x = 46,395,867,609/144,396
  6. Step 6: Final answer
    x = 321,309.92

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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.