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Finding the Third Proportional to 313,399.50 and 676,674.38

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Solution

The third proportional to 313,399.50 and 676,674.38 is: 1,461,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,399.50 : 676,674.38 = 676,674.38 : x
  2. Step 2: Convert to fraction form
    313,399.50/676,674.38 = 676,674.38/x
  3. Step 3: Cross multiply
    313,399.50x = 676,674.38 × 676,674.38
  4. Step 4: Simplify right side
    313,399.50x = 457,888,209,781.64
  5. Step 5: Solve for x
    x = 457,888,209,781.64/313,399.50
  6. Step 6: Final answer
    x = 1,461,036.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.