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Finding the Third Proportional to 127,995.19 and 278,956.41

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Solution

The third proportional to 127,995.19 and 278,956.41 is: 607,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,995.19 : 278,956.41 = 278,956.41 : x
  2. Step 2: Convert to fraction form
    127,995.19/278,956.41 = 278,956.41/x
  3. Step 3: Cross multiply
    127,995.19x = 278,956.41 × 278,956.41
  4. Step 4: Simplify right side
    127,995.19x = 77,816,676,587.92
  5. Step 5: Solve for x
    x = 77,816,676,587.92/127,995.19
  6. Step 6: Final answer
    x = 607,965.64

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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.