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Finding the Third Proportional to 30,914.16 and 66,202.31

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Solution

The third proportional to 30,914.16 and 66,202.31 is: 141,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,914.16 : 66,202.31 = 66,202.31 : x
  2. Step 2: Convert to fraction form
    30,914.16/66,202.31 = 66,202.31/x
  3. Step 3: Cross multiply
    30,914.16x = 66,202.31 × 66,202.31
  4. Step 4: Simplify right side
    30,914.16x = 4,382,746,180.35
  5. Step 5: Solve for x
    x = 4,382,746,180.35/30,914.16
  6. Step 6: Final answer
    x = 141,771.50

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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.