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Finding the Third Proportional to 217,480 and 441,107

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Solution

The third proportional to 217,480 and 441,107 is: 894,681.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,480 : 441,107 = 441,107 : x
  2. Step 2: Convert to fraction form
    217,480/441,107 = 441,107/x
  3. Step 3: Cross multiply
    217,480x = 441,107 × 441,107
  4. Step 4: Simplify right side
    217,480x = 194,575,385,449
  5. Step 5: Solve for x
    x = 194,575,385,449/217,480
  6. Step 6: Final answer
    x = 894,681.74

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.