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Finding the Third Proportional to 225,042 and 488,720

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Solution

The third proportional to 225,042 and 488,720 is: 1,061,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,042 : 488,720 = 488,720 : x
  2. Step 2: Convert to fraction form
    225,042/488,720 = 488,720/x
  3. Step 3: Cross multiply
    225,042x = 488,720 × 488,720
  4. Step 4: Simplify right side
    225,042x = 238,847,238,400
  5. Step 5: Solve for x
    x = 238,847,238,400/225,042
  6. Step 6: Final answer
    x = 1,061,345.16

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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.