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Finding the Third Proportional to 9,344.25 and 21,835.13

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Solution

The third proportional to 9,344.25 and 21,835.13 is: 51,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.25 : 21,835.13 = 21,835.13 : x
  2. Step 2: Convert to fraction form
    9,344.25/21,835.13 = 21,835.13/x
  3. Step 3: Cross multiply
    9,344.25x = 21,835.13 × 21,835.13
  4. Step 4: Simplify right side
    9,344.25x = 476,772,683.77
  5. Step 5: Solve for x
    x = 476,772,683.77/9,344.25
  6. Step 6: Final answer
    x = 51,023.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.