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Finding the Third Proportional to 180,340 and 280,342

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Solution

The third proportional to 180,340 and 280,342 is: 435,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,340 : 280,342 = 280,342 : x
  2. Step 2: Convert to fraction form
    180,340/280,342 = 280,342/x
  3. Step 3: Cross multiply
    180,340x = 280,342 × 280,342
  4. Step 4: Simplify right side
    180,340x = 78,591,636,964
  5. Step 5: Solve for x
    x = 78,591,636,964/180,340
  6. Step 6: Final answer
    x = 435,797.03

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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.