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Finding the Third Proportional to 99,480 and 140,627

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Solution

The third proportional to 99,480 and 140,627 is: 198,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,480 : 140,627 = 140,627 : x
  2. Step 2: Convert to fraction form
    99,480/140,627 = 140,627/x
  3. Step 3: Cross multiply
    99,480x = 140,627 × 140,627
  4. Step 4: Simplify right side
    99,480x = 19,775,953,129
  5. Step 5: Solve for x
    x = 19,775,953,129/99,480
  6. Step 6: Final answer
    x = 198,793.26

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.