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Finding the Third Proportional to 161,988 and 355,864

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Solution

The third proportional to 161,988 and 355,864 is: 781,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,988 : 355,864 = 355,864 : x
  2. Step 2: Convert to fraction form
    161,988/355,864 = 355,864/x
  3. Step 3: Cross multiply
    161,988x = 355,864 × 355,864
  4. Step 4: Simplify right side
    161,988x = 126,639,186,496
  5. Step 5: Solve for x
    x = 126,639,186,496/161,988
  6. Step 6: Final answer
    x = 781,781.28

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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.