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Finding the Third Proportional to 409,272 and 838,224

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Solution

The third proportional to 409,272 and 838,224 is: 1,716,754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,272 : 838,224 = 838,224 : x
  2. Step 2: Convert to fraction form
    409,272/838,224 = 838,224/x
  3. Step 3: Cross multiply
    409,272x = 838,224 × 838,224
  4. Step 4: Simplify right side
    409,272x = 702,619,474,176
  5. Step 5: Solve for x
    x = 702,619,474,176/409,272
  6. Step 6: Final answer
    x = 1,716,754.32

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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.