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Finding the Third Proportional to 99,218 and 141,447

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Solution

The third proportional to 99,218 and 141,447 is: 201,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,218 : 141,447 = 141,447 : x
  2. Step 2: Convert to fraction form
    99,218/141,447 = 141,447/x
  3. Step 3: Cross multiply
    99,218x = 141,447 × 141,447
  4. Step 4: Simplify right side
    99,218x = 20,007,253,809
  5. Step 5: Solve for x
    x = 20,007,253,809/99,218
  6. Step 6: Final answer
    x = 201,649.44

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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.