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Finding the Third Proportional to 356,851 and 784,675

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Solution

The third proportional to 356,851 and 784,675 is: 1,725,411.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,851 : 784,675 = 784,675 : x
  2. Step 2: Convert to fraction form
    356,851/784,675 = 784,675/x
  3. Step 3: Cross multiply
    356,851x = 784,675 × 784,675
  4. Step 4: Simplify right side
    356,851x = 615,714,855,625
  5. Step 5: Solve for x
    x = 615,714,855,625/356,851
  6. Step 6: Final answer
    x = 1,725,411.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.