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Finding the Third Proportional to 712,419.75 and 1,512,279

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Solution

The third proportional to 712,419.75 and 1,512,279 is: 3,210,168.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,419.75 : 1,512,279 = 1,512,279 : x
  2. Step 2: Convert to fraction form
    712,419.75/1,512,279 = 1,512,279/x
  3. Step 3: Cross multiply
    712,419.75x = 1,512,279 × 1,512,279
  4. Step 4: Simplify right side
    712,419.75x = 2,286,987,773,841
  5. Step 5: Solve for x
    x = 2,286,987,773,841/712,419.75
  6. Step 6: Final answer
    x = 3,210,168.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.