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Finding the Third Proportional to 276,214 and 418,056

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Solution

The third proportional to 276,214 and 418,056 is: 632,737.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,214 : 418,056 = 418,056 : x
  2. Step 2: Convert to fraction form
    276,214/418,056 = 418,056/x
  3. Step 3: Cross multiply
    276,214x = 418,056 × 418,056
  4. Step 4: Simplify right side
    276,214x = 174,770,819,136
  5. Step 5: Solve for x
    x = 174,770,819,136/276,214
  6. Step 6: Final answer
    x = 632,737.01

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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.