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Finding the Third Proportional to 72,784 and 154,315

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Solution

The third proportional to 72,784 and 154,315 is: 327,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,784 : 154,315 = 154,315 : x
  2. Step 2: Convert to fraction form
    72,784/154,315 = 154,315/x
  3. Step 3: Cross multiply
    72,784x = 154,315 × 154,315
  4. Step 4: Simplify right side
    72,784x = 23,813,119,225
  5. Step 5: Solve for x
    x = 23,813,119,225/72,784
  6. Step 6: Final answer
    x = 327,175.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.