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Finding the Third Proportional to 127,040 and 286,448

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Solution

The third proportional to 127,040 and 286,448 is: 645,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,040 : 286,448 = 286,448 : x
  2. Step 2: Convert to fraction form
    127,040/286,448 = 286,448/x
  3. Step 3: Cross multiply
    127,040x = 286,448 × 286,448
  4. Step 4: Simplify right side
    127,040x = 82,052,456,704
  5. Step 5: Solve for x
    x = 82,052,456,704/127,040
  6. Step 6: Final answer
    x = 645,878.91

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.