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Finding the Third Proportional to 172,490 and 274,287

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Solution

The third proportional to 172,490 and 274,287 is: 436,160.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,490 : 274,287 = 274,287 : x
  2. Step 2: Convert to fraction form
    172,490/274,287 = 274,287/x
  3. Step 3: Cross multiply
    172,490x = 274,287 × 274,287
  4. Step 4: Simplify right side
    172,490x = 75,233,358,369
  5. Step 5: Solve for x
    x = 75,233,358,369/172,490
  6. Step 6: Final answer
    x = 436,160.70

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.