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Finding the Third Proportional to 225,810 and 487,620

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Solution

The third proportional to 225,810 and 487,620 is: 1,052,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,810 : 487,620 = 487,620 : x
  2. Step 2: Convert to fraction form
    225,810/487,620 = 487,620/x
  3. Step 3: Cross multiply
    225,810x = 487,620 × 487,620
  4. Step 4: Simplify right side
    225,810x = 237,773,264,400
  5. Step 5: Solve for x
    x = 237,773,264,400/225,810
  6. Step 6: Final answer
    x = 1,052,979.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.