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Finding the Third Proportional to 312,432 and 681,888

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Solution

The third proportional to 312,432 and 681,888 is: 1,488,231.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,432 : 681,888 = 681,888 : x
  2. Step 2: Convert to fraction form
    312,432/681,888 = 681,888/x
  3. Step 3: Cross multiply
    312,432x = 681,888 × 681,888
  4. Step 4: Simplify right side
    312,432x = 464,971,244,544
  5. Step 5: Solve for x
    x = 464,971,244,544/312,432
  6. Step 6: Final answer
    x = 1,488,231.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.