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Finding the Third Proportional to 9,109.13 and 18,915.19

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Solution

The third proportional to 9,109.13 and 18,915.19 is: 39,277.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.13 : 18,915.19 = 18,915.19 : x
  2. Step 2: Convert to fraction form
    9,109.13/18,915.19 = 18,915.19/x
  3. Step 3: Cross multiply
    9,109.13x = 18,915.19 × 18,915.19
  4. Step 4: Simplify right side
    9,109.13x = 357,784,318.16
  5. Step 5: Solve for x
    x = 357,784,318.16/9,109.13
  6. Step 6: Final answer
    x = 39,277.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.