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Finding the Third Proportional to 66,555 and 145,391.63

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Solution

The third proportional to 66,555 and 145,391.63 is: 317,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,555 : 145,391.63 = 145,391.63 : x
  2. Step 2: Convert to fraction form
    66,555/145,391.63 = 145,391.63/x
  3. Step 3: Cross multiply
    66,555x = 145,391.63 × 145,391.63
  4. Step 4: Simplify right side
    66,555x = 21,138,724,620.14
  5. Step 5: Solve for x
    x = 21,138,724,620.14/66,555
  6. Step 6: Final answer
    x = 317,612.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.