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Finding the Third Proportional to 315,778 and 678,404

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Solution

The third proportional to 315,778 and 678,404 is: 1,457,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,778 : 678,404 = 678,404 : x
  2. Step 2: Convert to fraction form
    315,778/678,404 = 678,404/x
  3. Step 3: Cross multiply
    315,778x = 678,404 × 678,404
  4. Step 4: Simplify right side
    315,778x = 460,231,987,216
  5. Step 5: Solve for x
    x = 460,231,987,216/315,778
  6. Step 6: Final answer
    x = 1,457,454.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.