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Finding the Third Proportional to 9,675 and 18,742.50

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Solution

The third proportional to 9,675 and 18,742.50 is: 36,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675 : 18,742.50 = 18,742.50 : x
  2. Step 2: Convert to fraction form
    9,675/18,742.50 = 18,742.50/x
  3. Step 3: Cross multiply
    9,675x = 18,742.50 × 18,742.50
  4. Step 4: Simplify right side
    9,675x = 351,281,306.25
  5. Step 5: Solve for x
    x = 351,281,306.25/9,675
  6. Step 6: Final answer
    x = 36,308.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.