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Finding the Third Proportional to 225,386 and 488,356

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Solution

The third proportional to 225,386 and 488,356 is: 1,058,147.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,386 : 488,356 = 488,356 : x
  2. Step 2: Convert to fraction form
    225,386/488,356 = 488,356/x
  3. Step 3: Cross multiply
    225,386x = 488,356 × 488,356
  4. Step 4: Simplify right side
    225,386x = 238,491,582,736
  5. Step 5: Solve for x
    x = 238,491,582,736/225,386
  6. Step 6: Final answer
    x = 1,058,147.28

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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.