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Finding the Third Proportional to 97.98 and 130.01

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Solution

The third proportional to 97.98 and 130.01 is: 172.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.98 : 130.01 = 130.01 : x
  2. Step 2: Convert to fraction form
    97.98/130.01 = 130.01/x
  3. Step 3: Cross multiply
    97.98x = 130.01 × 130.01
  4. Step 4: Simplify right side
    97.98x = 16,903.46
  5. Step 5: Solve for x
    x = 16,903.46/97.98
  6. Step 6: Final answer
    x = 172.52

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.