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Finding the Third Proportional to 180,587.50 and 280,011

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Solution

The third proportional to 180,587.50 and 280,011 is: 434,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,587.50 : 280,011 = 280,011 : x
  2. Step 2: Convert to fraction form
    180,587.50/280,011 = 280,011/x
  3. Step 3: Cross multiply
    180,587.50x = 280,011 × 280,011
  4. Step 4: Simplify right side
    180,587.50x = 78,406,160,121
  5. Step 5: Solve for x
    x = 78,406,160,121/180,587.50
  6. Step 6: Final answer
    x = 434,172.69

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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.