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Finding the Third Proportional to 312,264.56 and 668,781.84

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Solution

The third proportional to 312,264.56 and 668,781.84 is: 1,432,340.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,264.56 : 668,781.84 = 668,781.84 : x
  2. Step 2: Convert to fraction form
    312,264.56/668,781.84 = 668,781.84/x
  3. Step 3: Cross multiply
    312,264.56x = 668,781.84 × 668,781.84
  4. Step 4: Simplify right side
    312,264.56x = 447,269,154,529.65
  5. Step 5: Solve for x
    x = 447,269,154,529.65/312,264.56
  6. Step 6: Final answer
    x = 1,432,340.42

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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.