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Finding the Third Proportional to 445,792 and 869,257

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Solution

The third proportional to 445,792 and 869,257 is: 1,694,978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,792 : 869,257 = 869,257 : x
  2. Step 2: Convert to fraction form
    445,792/869,257 = 869,257/x
  3. Step 3: Cross multiply
    445,792x = 869,257 × 869,257
  4. Step 4: Simplify right side
    445,792x = 755,607,732,049
  5. Step 5: Solve for x
    x = 755,607,732,049/445,792
  6. Step 6: Final answer
    x = 1,694,978.22

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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.