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Finding the Third Proportional to 186,754 and 280,315

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Solution

The third proportional to 186,754 and 280,315 is: 420,748.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,754 : 280,315 = 280,315 : x
  2. Step 2: Convert to fraction form
    186,754/280,315 = 280,315/x
  3. Step 3: Cross multiply
    186,754x = 280,315 × 280,315
  4. Step 4: Simplify right side
    186,754x = 78,576,499,225
  5. Step 5: Solve for x
    x = 78,576,499,225/186,754
  6. Step 6: Final answer
    x = 420,748.68

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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.