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Finding the Third Proportional to 215,143 and 472,747

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Solution

The third proportional to 215,143 and 472,747 is: 1,038,796.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,143 : 472,747 = 472,747 : x
  2. Step 2: Convert to fraction form
    215,143/472,747 = 472,747/x
  3. Step 3: Cross multiply
    215,143x = 472,747 × 472,747
  4. Step 4: Simplify right side
    215,143x = 223,489,726,009
  5. Step 5: Solve for x
    x = 223,489,726,009/215,143
  6. Step 6: Final answer
    x = 1,038,796.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.