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Finding the Third Proportional to 127,521.56 and 279,281.81

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Solution

The third proportional to 127,521.56 and 279,281.81 is: 611,648.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,521.56 : 279,281.81 = 279,281.81 : x
  2. Step 2: Convert to fraction form
    127,521.56/279,281.81 = 279,281.81/x
  3. Step 3: Cross multiply
    127,521.56x = 279,281.81 × 279,281.81
  4. Step 4: Simplify right side
    127,521.56x = 77,998,330,793.29
  5. Step 5: Solve for x
    x = 77,998,330,793.29/127,521.56
  6. Step 6: Final answer
    x = 611,648.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.