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Finding the Third Proportional to 312,513.25 and 681,815

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Solution

The third proportional to 312,513.25 and 681,815 is: 1,487,526.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,513.25 : 681,815 = 681,815 : x
  2. Step 2: Convert to fraction form
    312,513.25/681,815 = 681,815/x
  3. Step 3: Cross multiply
    312,513.25x = 681,815 × 681,815
  4. Step 4: Simplify right side
    312,513.25x = 464,871,694,225
  5. Step 5: Solve for x
    x = 464,871,694,225/312,513.25
  6. Step 6: Final answer
    x = 1,487,526.35

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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.