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Finding the Third Proportional to 9,902.25 and 21,515.63

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Solution

The third proportional to 9,902.25 and 21,515.63 is: 46,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.25 : 21,515.63 = 21,515.63 : x
  2. Step 2: Convert to fraction form
    9,902.25/21,515.63 = 21,515.63/x
  3. Step 3: Cross multiply
    9,902.25x = 21,515.63 × 21,515.63
  4. Step 4: Simplify right side
    9,902.25x = 462,922,119.14
  5. Step 5: Solve for x
    x = 462,922,119.14/9,902.25
  6. Step 6: Final answer
    x = 46,749.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.