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Finding the Third Proportional to 127,506 and 280,176

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Solution

The third proportional to 127,506 and 280,176 is: 615,646.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,506 : 280,176 = 280,176 : x
  2. Step 2: Convert to fraction form
    127,506/280,176 = 280,176/x
  3. Step 3: Cross multiply
    127,506x = 280,176 × 280,176
  4. Step 4: Simplify right side
    127,506x = 78,498,590,976
  5. Step 5: Solve for x
    x = 78,498,590,976/127,506
  6. Step 6: Final answer
    x = 615,646.25

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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.