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Finding the Third Proportional to 345,018 and 475,098

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Solution

The third proportional to 345,018 and 475,098 is: 654,221.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,018 : 475,098 = 475,098 : x
  2. Step 2: Convert to fraction form
    345,018/475,098 = 475,098/x
  3. Step 3: Cross multiply
    345,018x = 475,098 × 475,098
  4. Step 4: Simplify right side
    345,018x = 225,718,109,604
  5. Step 5: Solve for x
    x = 225,718,109,604/345,018
  6. Step 6: Final answer
    x = 654,221.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.