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Finding the Third Proportional to 130,555 and 278,179

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Solution

The third proportional to 130,555 and 278,179 is: 592,727.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,555 : 278,179 = 278,179 : x
  2. Step 2: Convert to fraction form
    130,555/278,179 = 278,179/x
  3. Step 3: Cross multiply
    130,555x = 278,179 × 278,179
  4. Step 4: Simplify right side
    130,555x = 77,383,556,041
  5. Step 5: Solve for x
    x = 77,383,556,041/130,555
  6. Step 6: Final answer
    x = 592,727.63

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.