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Finding the Third Proportional to 273,634 and 420,315

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Solution

The third proportional to 273,634 and 420,315 is: 645,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,634 : 420,315 = 420,315 : x
  2. Step 2: Convert to fraction form
    273,634/420,315 = 420,315/x
  3. Step 3: Cross multiply
    273,634x = 420,315 × 420,315
  4. Step 4: Simplify right side
    273,634x = 176,664,699,225
  5. Step 5: Solve for x
    x = 176,664,699,225/273,634
  6. Step 6: Final answer
    x = 645,624.08

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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.