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Finding the Third Proportional to 99.70 and 145.62

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Solution

The third proportional to 99.70 and 145.62 is: 212.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.70 : 145.62 = 145.62 : x
  2. Step 2: Convert to fraction form
    99.70/145.62 = 145.62/x
  3. Step 3: Cross multiply
    99.70x = 145.62 × 145.62
  4. Step 4: Simplify right side
    99.70x = 21,204.37
  5. Step 5: Solve for x
    x = 21,204.37/99.70
  6. Step 6: Final answer
    x = 212.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.