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Finding the Third Proportional to 161,443.13 and 354,967.31

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Solution

The third proportional to 161,443.13 and 354,967.31 is: 780,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,443.13 : 354,967.31 = 354,967.31 : x
  2. Step 2: Convert to fraction form
    161,443.13/354,967.31 = 354,967.31/x
  3. Step 3: Cross multiply
    161,443.13x = 354,967.31 × 354,967.31
  4. Step 4: Simplify right side
    161,443.13x = 126,001,792,943.47
  5. Step 5: Solve for x
    x = 126,001,792,943.47/161,443.13
  6. Step 6: Final answer
    x = 780,471.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.