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Finding the Third Proportional to 667,353 and 1,439,688

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Solution

The third proportional to 667,353 and 1,439,688 is: 3,105,854.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,353 : 1,439,688 = 1,439,688 : x
  2. Step 2: Convert to fraction form
    667,353/1,439,688 = 1,439,688/x
  3. Step 3: Cross multiply
    667,353x = 1,439,688 × 1,439,688
  4. Step 4: Simplify right side
    667,353x = 2,072,701,537,344
  5. Step 5: Solve for x
    x = 2,072,701,537,344/667,353
  6. Step 6: Final answer
    x = 3,105,854.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.