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Finding the Third Proportional to 81,470 and 170,388

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Solution

The third proportional to 81,470 and 170,388 is: 356,352.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,470 : 170,388 = 170,388 : x
  2. Step 2: Convert to fraction form
    81,470/170,388 = 170,388/x
  3. Step 3: Cross multiply
    81,470x = 170,388 × 170,388
  4. Step 4: Simplify right side
    81,470x = 29,032,070,544
  5. Step 5: Solve for x
    x = 29,032,070,544/81,470
  6. Step 6: Final answer
    x = 356,352.90

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.