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Finding the Third Proportional to 371,518 and 814,231

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Solution

The third proportional to 371,518 and 814,231 is: 1,784,495.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,518 : 814,231 = 814,231 : x
  2. Step 2: Convert to fraction form
    371,518/814,231 = 814,231/x
  3. Step 3: Cross multiply
    371,518x = 814,231 × 814,231
  4. Step 4: Simplify right side
    371,518x = 662,972,121,361
  5. Step 5: Solve for x
    x = 662,972,121,361/371,518
  6. Step 6: Final answer
    x = 1,784,495.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.