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Finding the Third Proportional to 215,827 and 469,460

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Solution

The third proportional to 215,827 and 469,460 is: 1,021,154.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,827 : 469,460 = 469,460 : x
  2. Step 2: Convert to fraction form
    215,827/469,460 = 469,460/x
  3. Step 3: Cross multiply
    215,827x = 469,460 × 469,460
  4. Step 4: Simplify right side
    215,827x = 220,392,691,600
  5. Step 5: Solve for x
    x = 220,392,691,600/215,827
  6. Step 6: Final answer
    x = 1,021,154.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.