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Finding the Third Proportional to 177,368 and 275,381

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Solution

The third proportional to 177,368 and 275,381 is: 427,555.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,368 : 275,381 = 275,381 : x
  2. Step 2: Convert to fraction form
    177,368/275,381 = 275,381/x
  3. Step 3: Cross multiply
    177,368x = 275,381 × 275,381
  4. Step 4: Simplify right side
    177,368x = 75,834,695,161
  5. Step 5: Solve for x
    x = 75,834,695,161/177,368
  6. Step 6: Final answer
    x = 427,555.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.