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Finding the Third Proportional to 9,431.02 and 20,344.08

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Solution

The third proportional to 9,431.02 and 20,344.08 is: 43,885.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.02 : 20,344.08 = 20,344.08 : x
  2. Step 2: Convert to fraction form
    9,431.02/20,344.08 = 20,344.08/x
  3. Step 3: Cross multiply
    9,431.02x = 20,344.08 × 20,344.08
  4. Step 4: Simplify right side
    9,431.02x = 413,881,514.76
  5. Step 5: Solve for x
    x = 413,881,514.76/9,431.02
  6. Step 6: Final answer
    x = 43,885.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.