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Finding the Third Proportional to 99,780 and 157,969

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Solution

The third proportional to 99,780 and 157,969 is: 250,092.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,780 : 157,969 = 157,969 : x
  2. Step 2: Convert to fraction form
    99,780/157,969 = 157,969/x
  3. Step 3: Cross multiply
    99,780x = 157,969 × 157,969
  4. Step 4: Simplify right side
    99,780x = 24,954,204,961
  5. Step 5: Solve for x
    x = 24,954,204,961/99,780
  6. Step 6: Final answer
    x = 250,092.25

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.