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Finding the Third Proportional to 66,019.50 and 142,305.75

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Solution

The third proportional to 66,019.50 and 142,305.75 is: 306,741.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,019.50 : 142,305.75 = 142,305.75 : x
  2. Step 2: Convert to fraction form
    66,019.50/142,305.75 = 142,305.75/x
  3. Step 3: Cross multiply
    66,019.50x = 142,305.75 × 142,305.75
  4. Step 4: Simplify right side
    66,019.50x = 20,250,926,483.06
  5. Step 5: Solve for x
    x = 20,250,926,483.06/66,019.50
  6. Step 6: Final answer
    x = 306,741.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.