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Finding the Third Proportional to 30,000.66 and 66,229.31

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Solution

The third proportional to 30,000.66 and 66,229.31 is: 146,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.66 : 66,229.31 = 66,229.31 : x
  2. Step 2: Convert to fraction form
    30,000.66/66,229.31 = 66,229.31/x
  3. Step 3: Cross multiply
    30,000.66x = 66,229.31 × 66,229.31
  4. Step 4: Simplify right side
    30,000.66x = 4,386,321,834.22
  5. Step 5: Solve for x
    x = 4,386,321,834.22/30,000.66
  6. Step 6: Final answer
    x = 146,207.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.