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Finding the Third Proportional to 445,789 and 869,251

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Solution

The third proportional to 445,789 and 869,251 is: 1,694,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,789 : 869,251 = 869,251 : x
  2. Step 2: Convert to fraction form
    445,789/869,251 = 869,251/x
  3. Step 3: Cross multiply
    445,789x = 869,251 × 869,251
  4. Step 4: Simplify right side
    445,789x = 755,597,301,001
  5. Step 5: Solve for x
    x = 755,597,301,001/445,789
  6. Step 6: Final answer
    x = 1,694,966.23

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.