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Finding the Third Proportional to 225,387 and 488,358

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Solution

The third proportional to 225,387 and 488,358 is: 1,058,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,387 : 488,358 = 488,358 : x
  2. Step 2: Convert to fraction form
    225,387/488,358 = 488,358/x
  3. Step 3: Cross multiply
    225,387x = 488,358 × 488,358
  4. Step 4: Simplify right side
    225,387x = 238,493,536,164
  5. Step 5: Solve for x
    x = 238,493,536,164/225,387
  6. Step 6: Final answer
    x = 1,058,151.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.