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Finding the Third Proportional to 7,539 and 15,280.50

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Solution

The third proportional to 7,539 and 15,280.50 is: 30,971.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539 : 15,280.50 = 15,280.50 : x
  2. Step 2: Convert to fraction form
    7,539/15,280.50 = 15,280.50/x
  3. Step 3: Cross multiply
    7,539x = 15,280.50 × 15,280.50
  4. Step 4: Simplify right side
    7,539x = 233,493,680.25
  5. Step 5: Solve for x
    x = 233,493,680.25/7,539
  6. Step 6: Final answer
    x = 30,971.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.