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Finding the Third Proportional to 272,486 and 659,345

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Solution

The third proportional to 272,486 and 659,345 is: 1,595,442.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,486 : 659,345 = 659,345 : x
  2. Step 2: Convert to fraction form
    272,486/659,345 = 659,345/x
  3. Step 3: Cross multiply
    272,486x = 659,345 × 659,345
  4. Step 4: Simplify right side
    272,486x = 434,735,829,025
  5. Step 5: Solve for x
    x = 434,735,829,025/272,486
  6. Step 6: Final answer
    x = 1,595,442.81

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.