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Finding the Third Proportional to 409,302 and 838,278

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Solution

The third proportional to 409,302 and 838,278 is: 1,716,849.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,302 : 838,278 = 838,278 : x
  2. Step 2: Convert to fraction form
    409,302/838,278 = 838,278/x
  3. Step 3: Cross multiply
    409,302x = 838,278 × 838,278
  4. Step 4: Simplify right side
    409,302x = 702,710,005,284
  5. Step 5: Solve for x
    x = 702,710,005,284/409,302
  6. Step 6: Final answer
    x = 1,716,849.67

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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.