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Finding the Third Proportional to 185,488 and 278,272

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Solution

The third proportional to 185,488 and 278,272 is: 417,468.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,488 : 278,272 = 278,272 : x
  2. Step 2: Convert to fraction form
    185,488/278,272 = 278,272/x
  3. Step 3: Cross multiply
    185,488x = 278,272 × 278,272
  4. Step 4: Simplify right side
    185,488x = 77,435,305,984
  5. Step 5: Solve for x
    x = 77,435,305,984/185,488
  6. Step 6: Final answer
    x = 417,468.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.