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Finding the Third Proportional to 276,201 and 418,037.50

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Solution

The third proportional to 276,201 and 418,037.50 is: 632,710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,201 : 418,037.50 = 418,037.50 : x
  2. Step 2: Convert to fraction form
    276,201/418,037.50 = 418,037.50/x
  3. Step 3: Cross multiply
    276,201x = 418,037.50 × 418,037.50
  4. Step 4: Simplify right side
    276,201x = 174,755,351,406.25
  5. Step 5: Solve for x
    x = 174,755,351,406.25/276,201
  6. Step 6: Final answer
    x = 632,710.78

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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.