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Finding the Third Proportional to 4,530.94 and 9,981.63

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Solution

The third proportional to 4,530.94 and 9,981.63 is: 21,989.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.94 : 9,981.63 = 9,981.63 : x
  2. Step 2: Convert to fraction form
    4,530.94/9,981.63 = 9,981.63/x
  3. Step 3: Cross multiply
    4,530.94x = 9,981.63 × 9,981.63
  4. Step 4: Simplify right side
    4,530.94x = 99,632,837.64
  5. Step 5: Solve for x
    x = 99,632,837.64/4,530.94
  6. Step 6: Final answer
    x = 21,989.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.