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Finding the Third Proportional to 113,663 and 177,911

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Solution

The third proportional to 113,663 and 177,911 is: 278,475.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,663 : 177,911 = 177,911 : x
  2. Step 2: Convert to fraction form
    113,663/177,911 = 177,911/x
  3. Step 3: Cross multiply
    113,663x = 177,911 × 177,911
  4. Step 4: Simplify right side
    113,663x = 31,652,323,921
  5. Step 5: Solve for x
    x = 31,652,323,921/113,663
  6. Step 6: Final answer
    x = 278,475.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.