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Finding the Third Proportional to 97.88 and 130.88

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Solution

The third proportional to 97.88 and 130.88 is: 175.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.88 : 130.88 = 130.88 : x
  2. Step 2: Convert to fraction form
    97.88/130.88 = 130.88/x
  3. Step 3: Cross multiply
    97.88x = 130.88 × 130.88
  4. Step 4: Simplify right side
    97.88x = 17,128.27
  5. Step 5: Solve for x
    x = 17,128.27/97.88
  6. Step 6: Final answer
    x = 175.00

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.