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Finding the Third Proportional to 225,490 and 485,863

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Solution

The third proportional to 225,490 and 485,863 is: 1,046,888.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,490 : 485,863 = 485,863 : x
  2. Step 2: Convert to fraction form
    225,490/485,863 = 485,863/x
  3. Step 3: Cross multiply
    225,490x = 485,863 × 485,863
  4. Step 4: Simplify right side
    225,490x = 236,062,854,769
  5. Step 5: Solve for x
    x = 236,062,854,769/225,490
  6. Step 6: Final answer
    x = 1,046,888.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.