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Finding the Third Proportional to 12,030.19 and 28,981.97

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Solution

The third proportional to 12,030.19 and 28,981.97 is: 69,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,030.19 : 28,981.97 = 28,981.97 : x
  2. Step 2: Convert to fraction form
    12,030.19/28,981.97 = 28,981.97/x
  3. Step 3: Cross multiply
    12,030.19x = 28,981.97 × 28,981.97
  4. Step 4: Simplify right side
    12,030.19x = 839,954,512.63
  5. Step 5: Solve for x
    x = 839,954,512.63/12,030.19
  6. Step 6: Final answer
    x = 69,820.57

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.