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Finding the Third Proportional to 180,293 and 280,281

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Solution

The third proportional to 180,293 and 280,281 is: 435,720.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,293 : 280,281 = 280,281 : x
  2. Step 2: Convert to fraction form
    180,293/280,281 = 280,281/x
  3. Step 3: Cross multiply
    180,293x = 280,281 × 280,281
  4. Step 4: Simplify right side
    180,293x = 78,557,438,961
  5. Step 5: Solve for x
    x = 78,557,438,961/180,293
  6. Step 6: Final answer
    x = 435,720.96

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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.