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Finding the Third Proportional to 71,115 and 152,351

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Solution

The third proportional to 71,115 and 152,351 is: 326,384.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,115 : 152,351 = 152,351 : x
  2. Step 2: Convert to fraction form
    71,115/152,351 = 152,351/x
  3. Step 3: Cross multiply
    71,115x = 152,351 × 152,351
  4. Step 4: Simplify right side
    71,115x = 23,210,827,201
  5. Step 5: Solve for x
    x = 23,210,827,201/71,115
  6. Step 6: Final answer
    x = 326,384.41

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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.