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Finding the Third Proportional to 313,538.34 and 687,150.84

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Solution

The third proportional to 313,538.34 and 687,150.84 is: 1,505,960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,538.34 : 687,150.84 = 687,150.84 : x
  2. Step 2: Convert to fraction form
    313,538.34/687,150.84 = 687,150.84/x
  3. Step 3: Cross multiply
    313,538.34x = 687,150.84 × 687,150.84
  4. Step 4: Simplify right side
    313,538.34x = 472,176,282,066.34
  5. Step 5: Solve for x
    x = 472,176,282,066.34/313,538.34
  6. Step 6: Final answer
    x = 1,505,960.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.