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Finding the Third Proportional to 99,127 and 141,309

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Solution

The third proportional to 99,127 and 141,309 is: 201,440.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,127 : 141,309 = 141,309 : x
  2. Step 2: Convert to fraction form
    99,127/141,309 = 141,309/x
  3. Step 3: Cross multiply
    99,127x = 141,309 × 141,309
  4. Step 4: Simplify right side
    99,127x = 19,968,233,481
  5. Step 5: Solve for x
    x = 19,968,233,481/99,127
  6. Step 6: Final answer
    x = 201,440.91

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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.