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Finding the Third Proportional to 678,392 and 1,474,696

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Solution

The third proportional to 678,392 and 1,474,696 is: 3,205,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,392 : 1,474,696 = 1,474,696 : x
  2. Step 2: Convert to fraction form
    678,392/1,474,696 = 1,474,696/x
  3. Step 3: Cross multiply
    678,392x = 1,474,696 × 1,474,696
  4. Step 4: Simplify right side
    678,392x = 2,174,728,292,416
  5. Step 5: Solve for x
    x = 2,174,728,292,416/678,392
  6. Step 6: Final answer
    x = 3,205,710.40

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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.