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Finding the Third Proportional to 66,024.28 and 142,315.31

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Solution

The third proportional to 66,024.28 and 142,315.31 is: 306,760.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,024.28 : 142,315.31 = 142,315.31 : x
  2. Step 2: Convert to fraction form
    66,024.28/142,315.31 = 142,315.31/x
  3. Step 3: Cross multiply
    66,024.28x = 142,315.31 × 142,315.31
  4. Step 4: Simplify right side
    66,024.28x = 20,253,648,171.97
  5. Step 5: Solve for x
    x = 20,253,648,171.97/66,024.28
  6. Step 6: Final answer
    x = 306,760.60

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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.