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Finding the Third Proportional to 66,668.06 and 145,789.88

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Solution

The third proportional to 66,668.06 and 145,789.88 is: 318,813.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,668.06 : 145,789.88 = 145,789.88 : x
  2. Step 2: Convert to fraction form
    66,668.06/145,789.88 = 145,789.88/x
  3. Step 3: Cross multiply
    66,668.06x = 145,789.88 × 145,789.88
  4. Step 4: Simplify right side
    66,668.06x = 21,254,687,652.52
  5. Step 5: Solve for x
    x = 21,254,687,652.52/66,668.06
  6. Step 6: Final answer
    x = 318,813.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.