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Finding the Third Proportional to 99,030 and 149,020

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Solution

The third proportional to 99,030 and 149,020 is: 224,244.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,030 : 149,020 = 149,020 : x
  2. Step 2: Convert to fraction form
    99,030/149,020 = 149,020/x
  3. Step 3: Cross multiply
    99,030x = 149,020 × 149,020
  4. Step 4: Simplify right side
    99,030x = 22,206,960,400
  5. Step 5: Solve for x
    x = 22,206,960,400/99,030
  6. Step 6: Final answer
    x = 224,244.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.