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Finding the Third Proportional to 318,115.13 and 681,768.56

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Solution

The third proportional to 318,115.13 and 681,768.56 is: 1,461,132.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,115.13 : 681,768.56 = 681,768.56 : x
  2. Step 2: Convert to fraction form
    318,115.13/681,768.56 = 681,768.56/x
  3. Step 3: Cross multiply
    318,115.13x = 681,768.56 × 681,768.56
  4. Step 4: Simplify right side
    318,115.13x = 464,808,372,813.32
  5. Step 5: Solve for x
    x = 464,808,372,813.32/318,115.13
  6. Step 6: Final answer
    x = 1,461,132.58

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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.