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Finding the Third Proportional to 70,202 and 152,311

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Solution

The third proportional to 70,202 and 152,311 is: 330,455.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,202 : 152,311 = 152,311 : x
  2. Step 2: Convert to fraction form
    70,202/152,311 = 152,311/x
  3. Step 3: Cross multiply
    70,202x = 152,311 × 152,311
  4. Step 4: Simplify right side
    70,202x = 23,198,640,721
  5. Step 5: Solve for x
    x = 23,198,640,721/70,202
  6. Step 6: Final answer
    x = 330,455.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.