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Finding the Third Proportional to 180,297 and 280,279.13

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Solution

The third proportional to 180,297 and 280,279.13 is: 435,705.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,297 : 280,279.13 = 280,279.13 : x
  2. Step 2: Convert to fraction form
    180,297/280,279.13 = 280,279.13/x
  3. Step 3: Cross multiply
    180,297x = 280,279.13 × 280,279.13
  4. Step 4: Simplify right side
    180,297x = 78,556,387,910.77
  5. Step 5: Solve for x
    x = 78,556,387,910.77/180,297
  6. Step 6: Final answer
    x = 435,705.46

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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.