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Finding the Third Proportional to 180,480 and 280,563

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Solution

The third proportional to 180,480 and 280,563 is: 436,145.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,480 : 280,563 = 280,563 : x
  2. Step 2: Convert to fraction form
    180,480/280,563 = 280,563/x
  3. Step 3: Cross multiply
    180,480x = 280,563 × 280,563
  4. Step 4: Simplify right side
    180,480x = 78,715,596,969
  5. Step 5: Solve for x
    x = 78,715,596,969/180,480
  6. Step 6: Final answer
    x = 436,145.82

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.