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Finding the Third Proportional to 312,207.75 and 668,703.38

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Solution

The third proportional to 312,207.75 and 668,703.38 is: 1,432,264.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,207.75 : 668,703.38 = 668,703.38 : x
  2. Step 2: Convert to fraction form
    312,207.75/668,703.38 = 668,703.38/x
  3. Step 3: Cross multiply
    312,207.75x = 668,703.38 × 668,703.38
  4. Step 4: Simplify right side
    312,207.75x = 447,164,203,736.39
  5. Step 5: Solve for x
    x = 447,164,203,736.39/312,207.75
  6. Step 6: Final answer
    x = 1,432,264.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.