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Finding the Third Proportional to 276,205 and 418,044

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Solution

The third proportional to 276,205 and 418,044 is: 632,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,205 : 418,044 = 418,044 : x
  2. Step 2: Convert to fraction form
    276,205/418,044 = 418,044/x
  3. Step 3: Cross multiply
    276,205x = 418,044 × 418,044
  4. Step 4: Simplify right side
    276,205x = 174,760,785,936
  5. Step 5: Solve for x
    x = 174,760,785,936/276,205
  6. Step 6: Final answer
    x = 632,721.30

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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.