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Finding the Third Proportional to 276,208 and 418,046

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Solution

The third proportional to 276,208 and 418,046 is: 632,720.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,208 : 418,046 = 418,046 : x
  2. Step 2: Convert to fraction form
    276,208/418,046 = 418,046/x
  3. Step 3: Cross multiply
    276,208x = 418,046 × 418,046
  4. Step 4: Simplify right side
    276,208x = 174,762,458,116
  5. Step 5: Solve for x
    x = 174,762,458,116/276,208
  6. Step 6: Final answer
    x = 632,720.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.