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Finding the Third Proportional to 30,564.84 and 66,376.97

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Solution

The third proportional to 30,564.84 and 66,376.97 is: 144,149.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564.84 : 66,376.97 = 66,376.97 : x
  2. Step 2: Convert to fraction form
    30,564.84/66,376.97 = 66,376.97/x
  3. Step 3: Cross multiply
    30,564.84x = 66,376.97 × 66,376.97
  4. Step 4: Simplify right side
    30,564.84x = 4,405,901,980.44
  5. Step 5: Solve for x
    x = 4,405,901,980.44/30,564.84
  6. Step 6: Final answer
    x = 144,149.34

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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.