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Finding the Third Proportional to 71,489 and 152,794

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Solution

The third proportional to 71,489 and 152,794 is: 326,567.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,489 : 152,794 = 152,794 : x
  2. Step 2: Convert to fraction form
    71,489/152,794 = 152,794/x
  3. Step 3: Cross multiply
    71,489x = 152,794 × 152,794
  4. Step 4: Simplify right side
    71,489x = 23,346,006,436
  5. Step 5: Solve for x
    x = 23,346,006,436/71,489
  6. Step 6: Final answer
    x = 326,567.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.