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Finding the Third Proportional to 115,436 and 177,315

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Solution

The third proportional to 115,436 and 177,315 is: 272,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,436 : 177,315 = 177,315 : x
  2. Step 2: Convert to fraction form
    115,436/177,315 = 177,315/x
  3. Step 3: Cross multiply
    115,436x = 177,315 × 177,315
  4. Step 4: Simplify right side
    115,436x = 31,440,609,225
  5. Step 5: Solve for x
    x = 31,440,609,225/115,436
  6. Step 6: Final answer
    x = 272,363.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.