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Finding the Third Proportional to 115,877 and 155,203

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Solution

The third proportional to 115,877 and 155,203 is: 207,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,877 : 155,203 = 155,203 : x
  2. Step 2: Convert to fraction form
    115,877/155,203 = 155,203/x
  3. Step 3: Cross multiply
    115,877x = 155,203 × 155,203
  4. Step 4: Simplify right side
    115,877x = 24,087,971,209
  5. Step 5: Solve for x
    x = 24,087,971,209/115,877
  6. Step 6: Final answer
    x = 207,875.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.