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Finding the Third Proportional to 282,399 and 430,217

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Solution

The third proportional to 282,399 and 430,217 is: 655,408.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,399 : 430,217 = 430,217 : x
  2. Step 2: Convert to fraction form
    282,399/430,217 = 430,217/x
  3. Step 3: Cross multiply
    282,399x = 430,217 × 430,217
  4. Step 4: Simplify right side
    282,399x = 185,086,667,089
  5. Step 5: Solve for x
    x = 185,086,667,089/282,399
  6. Step 6: Final answer
    x = 655,408.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.