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Finding the Third Proportional to 417,865 and 902,230

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Solution

The third proportional to 417,865 and 902,230 is: 1,948,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,865 : 902,230 = 902,230 : x
  2. Step 2: Convert to fraction form
    417,865/902,230 = 902,230/x
  3. Step 3: Cross multiply
    417,865x = 902,230 × 902,230
  4. Step 4: Simplify right side
    417,865x = 814,018,972,900
  5. Step 5: Solve for x
    x = 814,018,972,900/417,865
  6. Step 6: Final answer
    x = 1,948,042.96

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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.