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Finding the Third Proportional to 276,669.74 and 415,261.37

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Solution

The third proportional to 276,669.74 and 415,261.37 is: 623,277.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,669.74 : 415,261.37 = 415,261.37 : x
  2. Step 2: Convert to fraction form
    276,669.74/415,261.37 = 415,261.37/x
  3. Step 3: Cross multiply
    276,669.74x = 415,261.37 × 415,261.37
  4. Step 4: Simplify right side
    276,669.74x = 172,442,006,322.66
  5. Step 5: Solve for x
    x = 172,442,006,322.66/276,669.74
  6. Step 6: Final answer
    x = 623,277.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.