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Finding the Third Proportional to 313,074 and 670,421.25

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Solution

The third proportional to 313,074 and 670,421.25 is: 1,435,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,074 : 670,421.25 = 670,421.25 : x
  2. Step 2: Convert to fraction form
    313,074/670,421.25 = 670,421.25/x
  3. Step 3: Cross multiply
    313,074x = 670,421.25 × 670,421.25
  4. Step 4: Simplify right side
    313,074x = 449,464,652,451.56
  5. Step 5: Solve for x
    x = 449,464,652,451.56/313,074
  6. Step 6: Final answer
    x = 1,435,649.89

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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.