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Finding the Third Proportional to 99,135 and 141,321

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Solution

The third proportional to 99,135 and 141,321 is: 201,458.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,135 : 141,321 = 141,321 : x
  2. Step 2: Convert to fraction form
    99,135/141,321 = 141,321/x
  3. Step 3: Cross multiply
    99,135x = 141,321 × 141,321
  4. Step 4: Simplify right side
    99,135x = 19,971,625,041
  5. Step 5: Solve for x
    x = 19,971,625,041/99,135
  6. Step 6: Final answer
    x = 201,458.87

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.