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Finding the Third Proportional to 309,359 and 656,221

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Solution

The third proportional to 309,359 and 656,221 is: 1,391,994.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,359 : 656,221 = 656,221 : x
  2. Step 2: Convert to fraction form
    309,359/656,221 = 656,221/x
  3. Step 3: Cross multiply
    309,359x = 656,221 × 656,221
  4. Step 4: Simplify right side
    309,359x = 430,626,000,841
  5. Step 5: Solve for x
    x = 430,626,000,841/309,359
  6. Step 6: Final answer
    x = 1,391,994.42

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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.