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Finding the Third Proportional to 7,899.50 and 18,287.75

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Solution

The third proportional to 7,899.50 and 18,287.75 is: 42,337.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,899.50 : 18,287.75 = 18,287.75 : x
  2. Step 2: Convert to fraction form
    7,899.50/18,287.75 = 18,287.75/x
  3. Step 3: Cross multiply
    7,899.50x = 18,287.75 × 18,287.75
  4. Step 4: Simplify right side
    7,899.50x = 334,441,800.06
  5. Step 5: Solve for x
    x = 334,441,800.06/7,899.50
  6. Step 6: Final answer
    x = 42,337.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.