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Finding the Third Proportional to 130.20 and 278.87

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Solution

The third proportional to 130.20 and 278.87 is: 597.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.20 : 278.87 = 278.87 : x
  2. Step 2: Convert to fraction form
    130.20/278.87 = 278.87/x
  3. Step 3: Cross multiply
    130.20x = 278.87 × 278.87
  4. Step 4: Simplify right side
    130.20x = 77,769.90
  5. Step 5: Solve for x
    x = 77,769.90/130.20
  6. Step 6: Final answer
    x = 597.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.