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Finding the Third Proportional to 66,111.94 and 145,345.88

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Solution

The third proportional to 66,111.94 and 145,345.88 is: 319,540.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,111.94 : 145,345.88 = 145,345.88 : x
  2. Step 2: Convert to fraction form
    66,111.94/145,345.88 = 145,345.88/x
  3. Step 3: Cross multiply
    66,111.94x = 145,345.88 × 145,345.88
  4. Step 4: Simplify right side
    66,111.94x = 21,125,423,379.52
  5. Step 5: Solve for x
    x = 21,125,423,379.52/66,111.94
  6. Step 6: Final answer
    x = 319,540.22

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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.