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Finding the Third Proportional to 181,998 and 278,793

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Solution

The third proportional to 181,998 and 278,793 is: 427,068.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,998 : 278,793 = 278,793 : x
  2. Step 2: Convert to fraction form
    181,998/278,793 = 278,793/x
  3. Step 3: Cross multiply
    181,998x = 278,793 × 278,793
  4. Step 4: Simplify right side
    181,998x = 77,725,536,849
  5. Step 5: Solve for x
    x = 77,725,536,849/181,998
  6. Step 6: Final answer
    x = 427,068.08

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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.