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Finding the Third Proportional to 161,839.69 and 247,686.19

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Solution

The third proportional to 161,839.69 and 247,686.19 is: 379,069.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,839.69 : 247,686.19 = 247,686.19 : x
  2. Step 2: Convert to fraction form
    161,839.69/247,686.19 = 247,686.19/x
  3. Step 3: Cross multiply
    161,839.69x = 247,686.19 × 247,686.19
  4. Step 4: Simplify right side
    161,839.69x = 61,348,447,478.29
  5. Step 5: Solve for x
    x = 61,348,447,478.29/161,839.69
  6. Step 6: Final answer
    x = 379,069.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.