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Finding the Third Proportional to 276,017.81 and 415,408.78

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Solution

The third proportional to 276,017.81 and 415,408.78 is: 625,193.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,017.81 : 415,408.78 = 415,408.78 : x
  2. Step 2: Convert to fraction form
    276,017.81/415,408.78 = 415,408.78/x
  3. Step 3: Cross multiply
    276,017.81x = 415,408.78 × 415,408.78
  4. Step 4: Simplify right side
    276,017.81x = 172,564,455,539.61
  5. Step 5: Solve for x
    x = 172,564,455,539.61/276,017.81
  6. Step 6: Final answer
    x = 625,193.19

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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.