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Finding the Third Proportional to 180,321 and 280,307.50

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Solution

The third proportional to 180,321 and 280,307.50 is: 435,735.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,321 : 280,307.50 = 280,307.50 : x
  2. Step 2: Convert to fraction form
    180,321/280,307.50 = 280,307.50/x
  3. Step 3: Cross multiply
    180,321x = 280,307.50 × 280,307.50
  4. Step 4: Simplify right side
    180,321x = 78,572,294,556.25
  5. Step 5: Solve for x
    x = 78,572,294,556.25/180,321
  6. Step 6: Final answer
    x = 435,735.69

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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.