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Finding the Third Proportional to 180,360 and 280,364

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Solution

The third proportional to 180,360 and 280,364 is: 435,817.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,360 : 280,364 = 280,364 : x
  2. Step 2: Convert to fraction form
    180,360/280,364 = 280,364/x
  3. Step 3: Cross multiply
    180,360x = 280,364 × 280,364
  4. Step 4: Simplify right side
    180,360x = 78,603,972,496
  5. Step 5: Solve for x
    x = 78,603,972,496/180,360
  6. Step 6: Final answer
    x = 435,817.10

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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.