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Finding the Third Proportional to 181,988 and 278,780

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Solution

The third proportional to 181,988 and 278,780 is: 427,051.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,988 : 278,780 = 278,780 : x
  2. Step 2: Convert to fraction form
    181,988/278,780 = 278,780/x
  3. Step 3: Cross multiply
    181,988x = 278,780 × 278,780
  4. Step 4: Simplify right side
    181,988x = 77,718,288,400
  5. Step 5: Solve for x
    x = 77,718,288,400/181,988
  6. Step 6: Final answer
    x = 427,051.72

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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.