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Finding the Third Proportional to 177,286 and 272,490

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Solution

The third proportional to 177,286 and 272,490 is: 418,819.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,286 : 272,490 = 272,490 : x
  2. Step 2: Convert to fraction form
    177,286/272,490 = 272,490/x
  3. Step 3: Cross multiply
    177,286x = 272,490 × 272,490
  4. Step 4: Simplify right side
    177,286x = 74,250,800,100
  5. Step 5: Solve for x
    x = 74,250,800,100/177,286
  6. Step 6: Final answer
    x = 418,819.31

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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.