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Finding the Third Proportional to 115,563 and 177,381

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Solution

The third proportional to 115,563 and 177,381 is: 272,267.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,563 : 177,381 = 177,381 : x
  2. Step 2: Convert to fraction form
    115,563/177,381 = 177,381/x
  3. Step 3: Cross multiply
    115,563x = 177,381 × 177,381
  4. Step 4: Simplify right side
    115,563x = 31,464,019,161
  5. Step 5: Solve for x
    x = 31,464,019,161/115,563
  6. Step 6: Final answer
    x = 272,267.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.