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Finding the Third Proportional to 66,615.94 and 142,728.38

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Solution

The third proportional to 66,615.94 and 142,728.38 is: 305,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,615.94 : 142,728.38 = 142,728.38 : x
  2. Step 2: Convert to fraction form
    66,615.94/142,728.38 = 142,728.38/x
  3. Step 3: Cross multiply
    66,615.94x = 142,728.38 × 142,728.38
  4. Step 4: Simplify right side
    66,615.94x = 20,371,389,030.14
  5. Step 5: Solve for x
    x = 20,371,389,030.14/66,615.94
  6. Step 6: Final answer
    x = 305,803.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.