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Finding the Third Proportional to 482,419.55 and 643,138.42

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Solution

The third proportional to 482,419.55 and 643,138.42 is: 857,401.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,419.55 : 643,138.42 = 643,138.42 : x
  2. Step 2: Convert to fraction form
    482,419.55/643,138.42 = 643,138.42/x
  3. Step 3: Cross multiply
    482,419.55x = 643,138.42 × 643,138.42
  4. Step 4: Simplify right side
    482,419.55x = 413,627,024,667.35
  5. Step 5: Solve for x
    x = 413,627,024,667.35/482,419.55
  6. Step 6: Final answer
    x = 857,401.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.