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Finding the Third Proportional to 415,214.25 and 678,000.75

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Solution

The third proportional to 415,214.25 and 678,000.75 is: 1,107,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,214.25 : 678,000.75 = 678,000.75 : x
  2. Step 2: Convert to fraction form
    415,214.25/678,000.75 = 678,000.75/x
  3. Step 3: Cross multiply
    415,214.25x = 678,000.75 × 678,000.75
  4. Step 4: Simplify right side
    415,214.25x = 459,685,017,000.56
  5. Step 5: Solve for x
    x = 459,685,017,000.56/415,214.25
  6. Step 6: Final answer
    x = 1,107,103.18

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.