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Finding the Third Proportional to 318,005 and 645,237

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Solution

The third proportional to 318,005 and 645,237 is: 1,309,195.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,005 : 645,237 = 645,237 : x
  2. Step 2: Convert to fraction form
    318,005/645,237 = 645,237/x
  3. Step 3: Cross multiply
    318,005x = 645,237 × 645,237
  4. Step 4: Simplify right side
    318,005x = 416,330,786,169
  5. Step 5: Solve for x
    x = 416,330,786,169/318,005
  6. Step 6: Final answer
    x = 1,309,195.72

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.