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Finding the Third Proportional to 127,560 and 278,084

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Solution

The third proportional to 127,560 and 278,084 is: 606,230.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,560 : 278,084 = 278,084 : x
  2. Step 2: Convert to fraction form
    127,560/278,084 = 278,084/x
  3. Step 3: Cross multiply
    127,560x = 278,084 × 278,084
  4. Step 4: Simplify right side
    127,560x = 77,330,711,056
  5. Step 5: Solve for x
    x = 77,330,711,056/127,560
  6. Step 6: Final answer
    x = 606,230.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.