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Finding the Third Proportional to 66,462.75 and 145,842.75

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Solution

The third proportional to 66,462.75 and 145,842.75 is: 320,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,462.75 : 145,842.75 = 145,842.75 : x
  2. Step 2: Convert to fraction form
    66,462.75/145,842.75 = 145,842.75/x
  3. Step 3: Cross multiply
    66,462.75x = 145,842.75 × 145,842.75
  4. Step 4: Simplify right side
    66,462.75x = 21,270,107,727.56
  5. Step 5: Solve for x
    x = 21,270,107,727.56/66,462.75
  6. Step 6: Final answer
    x = 320,030.51

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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.