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Finding the Third Proportional to 445,802 and 869,278

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Solution

The third proportional to 445,802 and 869,278 is: 1,695,022.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,802 : 869,278 = 869,278 : x
  2. Step 2: Convert to fraction form
    445,802/869,278 = 869,278/x
  3. Step 3: Cross multiply
    445,802x = 869,278 × 869,278
  4. Step 4: Simplify right side
    445,802x = 755,644,241,284
  5. Step 5: Solve for x
    x = 755,644,241,284/445,802
  6. Step 6: Final answer
    x = 1,695,022.10

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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.