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Finding the Third Proportional to 678,384 and 1,474,677

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Solution

The third proportional to 678,384 and 1,474,677 is: 3,205,665.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,384 : 1,474,677 = 1,474,677 : x
  2. Step 2: Convert to fraction form
    678,384/1,474,677 = 1,474,677/x
  3. Step 3: Cross multiply
    678,384x = 1,474,677 × 1,474,677
  4. Step 4: Simplify right side
    678,384x = 2,174,672,254,329
  5. Step 5: Solve for x
    x = 2,174,672,254,329/678,384
  6. Step 6: Final answer
    x = 3,205,665.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.