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Finding the Third Proportional to 276,643.50 and 425,415

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Solution

The third proportional to 276,643.50 and 425,415 is: 654,191.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,643.50 : 425,415 = 425,415 : x
  2. Step 2: Convert to fraction form
    276,643.50/425,415 = 425,415/x
  3. Step 3: Cross multiply
    276,643.50x = 425,415 × 425,415
  4. Step 4: Simplify right side
    276,643.50x = 180,977,922,225
  5. Step 5: Solve for x
    x = 180,977,922,225/276,643.50
  6. Step 6: Final answer
    x = 654,191.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.