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Finding the Third Proportional to 313,341.75 and 668,962.13

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Solution

The third proportional to 313,341.75 and 668,962.13 is: 1,428,186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,341.75 : 668,962.13 = 668,962.13 : x
  2. Step 2: Convert to fraction form
    313,341.75/668,962.13 = 668,962.13/x
  3. Step 3: Cross multiply
    313,341.75x = 668,962.13 × 668,962.13
  4. Step 4: Simplify right side
    313,341.75x = 447,510,324,684.52
  5. Step 5: Solve for x
    x = 447,510,324,684.52/313,341.75
  6. Step 6: Final answer
    x = 1,428,186.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.