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Finding the Third Proportional to 276,295 and 427,929

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Solution

The third proportional to 276,295 and 427,929 is: 662,781.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,295 : 427,929 = 427,929 : x
  2. Step 2: Convert to fraction form
    276,295/427,929 = 427,929/x
  3. Step 3: Cross multiply
    276,295x = 427,929 × 427,929
  4. Step 4: Simplify right side
    276,295x = 183,123,229,041
  5. Step 5: Solve for x
    x = 183,123,229,041/276,295
  6. Step 6: Final answer
    x = 662,781.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.