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Finding the Third Proportional to 65,765.81 and 142,040.81

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Solution

The third proportional to 65,765.81 and 142,040.81 is: 306,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,765.81 : 142,040.81 = 142,040.81 : x
  2. Step 2: Convert to fraction form
    65,765.81/142,040.81 = 142,040.81/x
  3. Step 3: Cross multiply
    65,765.81x = 142,040.81 × 142,040.81
  4. Step 4: Simplify right side
    65,765.81x = 20,175,592,415.66
  5. Step 5: Solve for x
    x = 20,175,592,415.66/65,765.81
  6. Step 6: Final answer
    x = 306,779.34

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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.