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Finding the Third Proportional to 127,555 and 278,074

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Solution

The third proportional to 127,555 and 278,074 is: 606,210.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,555 : 278,074 = 278,074 : x
  2. Step 2: Convert to fraction form
    127,555/278,074 = 278,074/x
  3. Step 3: Cross multiply
    127,555x = 278,074 × 278,074
  4. Step 4: Simplify right side
    127,555x = 77,325,149,476
  5. Step 5: Solve for x
    x = 77,325,149,476/127,555
  6. Step 6: Final answer
    x = 606,210.26

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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.