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Finding the Third Proportional to 409,306 and 838,286

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Solution

The third proportional to 409,306 and 838,286 is: 1,716,865.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,306 : 838,286 = 838,286 : x
  2. Step 2: Convert to fraction form
    409,306/838,286 = 838,286/x
  3. Step 3: Cross multiply
    409,306x = 838,286 × 838,286
  4. Step 4: Simplify right side
    409,306x = 702,723,417,796
  5. Step 5: Solve for x
    x = 702,723,417,796/409,306
  6. Step 6: Final answer
    x = 1,716,865.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.