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Finding the Third Proportional to 412,227 and 891,159

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Solution

The third proportional to 412,227 and 891,159 is: 1,926,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,227 : 891,159 = 891,159 : x
  2. Step 2: Convert to fraction form
    412,227/891,159 = 891,159/x
  3. Step 3: Cross multiply
    412,227x = 891,159 × 891,159
  4. Step 4: Simplify right side
    412,227x = 794,164,363,281
  5. Step 5: Solve for x
    x = 794,164,363,281/412,227
  6. Step 6: Final answer
    x = 1,926,521.95

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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.