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Finding the Third Proportional to 230,998 and 345,554

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Solution

The third proportional to 230,998 and 345,554 is: 516,920.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,998 : 345,554 = 345,554 : x
  2. Step 2: Convert to fraction form
    230,998/345,554 = 345,554/x
  3. Step 3: Cross multiply
    230,998x = 345,554 × 345,554
  4. Step 4: Simplify right side
    230,998x = 119,407,566,916
  5. Step 5: Solve for x
    x = 119,407,566,916/230,998
  6. Step 6: Final answer
    x = 516,920.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.