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Finding the Third Proportional to 30,981.94 and 66,884.63

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Solution

The third proportional to 30,981.94 and 66,884.63 is: 144,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,981.94 : 66,884.63 = 66,884.63 : x
  2. Step 2: Convert to fraction form
    30,981.94/66,884.63 = 66,884.63/x
  3. Step 3: Cross multiply
    30,981.94x = 66,884.63 × 66,884.63
  4. Step 4: Simplify right side
    30,981.94x = 4,473,553,061.39
  5. Step 5: Solve for x
    x = 4,473,553,061.39/30,981.94
  6. Step 6: Final answer
    x = 144,392.30

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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.