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Finding the Third Proportional to 313,875 and 678,051

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Solution

The third proportional to 313,875 and 678,051 is: 1,464,765.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,875 : 678,051 = 678,051 : x
  2. Step 2: Convert to fraction form
    313,875/678,051 = 678,051/x
  3. Step 3: Cross multiply
    313,875x = 678,051 × 678,051
  4. Step 4: Simplify right side
    313,875x = 459,753,158,601
  5. Step 5: Solve for x
    x = 459,753,158,601/313,875
  6. Step 6: Final answer
    x = 1,464,765.14

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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.