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Finding the Third Proportional to 276,202 and 418,039

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Solution

The third proportional to 276,202 and 418,039 is: 632,713.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,202 : 418,039 = 418,039 : x
  2. Step 2: Convert to fraction form
    276,202/418,039 = 418,039/x
  3. Step 3: Cross multiply
    276,202x = 418,039 × 418,039
  4. Step 4: Simplify right side
    276,202x = 174,756,605,521
  5. Step 5: Solve for x
    x = 174,756,605,521/276,202
  6. Step 6: Final answer
    x = 632,713.03

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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.