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Finding the Third Proportional to 280,480.50 and 611,727

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Solution

The third proportional to 280,480.50 and 611,727 is: 1,334,174.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,480.50 : 611,727 = 611,727 : x
  2. Step 2: Convert to fraction form
    280,480.50/611,727 = 611,727/x
  3. Step 3: Cross multiply
    280,480.50x = 611,727 × 611,727
  4. Step 4: Simplify right side
    280,480.50x = 374,209,922,529
  5. Step 5: Solve for x
    x = 374,209,922,529/280,480.50
  6. Step 6: Final answer
    x = 1,334,174.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.