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Finding the Third Proportional to 314,474 and 678,762

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Solution

The third proportional to 314,474 and 678,762 is: 1,465,042.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,474 : 678,762 = 678,762 : x
  2. Step 2: Convert to fraction form
    314,474/678,762 = 678,762/x
  3. Step 3: Cross multiply
    314,474x = 678,762 × 678,762
  4. Step 4: Simplify right side
    314,474x = 460,717,852,644
  5. Step 5: Solve for x
    x = 460,717,852,644/314,474
  6. Step 6: Final answer
    x = 1,465,042.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.