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Finding the Third Proportional to 309,363 and 656,229

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Solution

The third proportional to 309,363 and 656,229 is: 1,392,010.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,363 : 656,229 = 656,229 : x
  2. Step 2: Convert to fraction form
    309,363/656,229 = 656,229/x
  3. Step 3: Cross multiply
    309,363x = 656,229 × 656,229
  4. Step 4: Simplify right side
    309,363x = 430,636,500,441
  5. Step 5: Solve for x
    x = 430,636,500,441/309,363
  6. Step 6: Final answer
    x = 1,392,010.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.