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Finding the Third Proportional to 99,670 and 154,487

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Solution

The third proportional to 99,670 and 154,487 is: 239,452.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,670 : 154,487 = 154,487 : x
  2. Step 2: Convert to fraction form
    99,670/154,487 = 154,487/x
  3. Step 3: Cross multiply
    99,670x = 154,487 × 154,487
  4. Step 4: Simplify right side
    99,670x = 23,866,233,169
  5. Step 5: Solve for x
    x = 23,866,233,169/99,670
  6. Step 6: Final answer
    x = 239,452.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.