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Finding the Third Proportional to 312,423.75 and 647,000.25

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Solution

The third proportional to 312,423.75 and 647,000.25 is: 1,339,876.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,423.75 : 647,000.25 = 647,000.25 : x
  2. Step 2: Convert to fraction form
    312,423.75/647,000.25 = 647,000.25/x
  3. Step 3: Cross multiply
    312,423.75x = 647,000.25 × 647,000.25
  4. Step 4: Simplify right side
    312,423.75x = 418,609,323,500.06
  5. Step 5: Solve for x
    x = 418,609,323,500.06/312,423.75
  6. Step 6: Final answer
    x = 1,339,876.77

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.