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Finding the Third Proportional to 30,843 and 66,056.63

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Solution

The third proportional to 30,843 and 66,056.63 is: 141,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843 : 66,056.63 = 66,056.63 : x
  2. Step 2: Convert to fraction form
    30,843/66,056.63 = 66,056.63/x
  3. Step 3: Cross multiply
    30,843x = 66,056.63 × 66,056.63
  4. Step 4: Simplify right side
    30,843x = 4,363,477,706.39
  5. Step 5: Solve for x
    x = 4,363,477,706.39/30,843
  6. Step 6: Final answer
    x = 141,473.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.