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Finding the Third Proportional to 30,151.50 and 66,214.13

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Solution

The third proportional to 30,151.50 and 66,214.13 is: 145,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,151.50 : 66,214.13 = 66,214.13 : x
  2. Step 2: Convert to fraction form
    30,151.50/66,214.13 = 66,214.13/x
  3. Step 3: Cross multiply
    30,151.50x = 66,214.13 × 66,214.13
  4. Step 4: Simplify right side
    30,151.50x = 4,384,310,349.52
  5. Step 5: Solve for x
    x = 4,384,310,349.52/30,151.50
  6. Step 6: Final answer
    x = 145,409.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.