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Finding the Third Proportional to 99,266 and 155,379

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Solution

The third proportional to 99,266 and 155,379 is: 243,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,266 : 155,379 = 155,379 : x
  2. Step 2: Convert to fraction form
    99,266/155,379 = 155,379/x
  3. Step 3: Cross multiply
    99,266x = 155,379 × 155,379
  4. Step 4: Simplify right side
    99,266x = 24,142,633,641
  5. Step 5: Solve for x
    x = 24,142,633,641/99,266
  6. Step 6: Final answer
    x = 243,211.51

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.