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Finding the Third Proportional to 35.68 and 73.90

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Solution

The third proportional to 35.68 and 73.90 is: 153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.68 : 73.90 = 73.90 : x
  2. Step 2: Convert to fraction form
    35.68/73.90 = 73.90/x
  3. Step 3: Cross multiply
    35.68x = 73.90 × 73.90
  4. Step 4: Simplify right side
    35.68x = 5,460.98
  5. Step 5: Solve for x
    x = 5,460.98/35.68
  6. Step 6: Final answer
    x = 153.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.