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Finding the Third Proportional to 65,813.91 and 142,135.03

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Solution

The third proportional to 65,813.91 and 142,135.03 is: 306,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813.91 : 142,135.03 = 142,135.03 : x
  2. Step 2: Convert to fraction form
    65,813.91/142,135.03 = 142,135.03/x
  3. Step 3: Cross multiply
    65,813.91x = 142,135.03 × 142,135.03
  4. Step 4: Simplify right side
    65,813.91x = 20,202,367,108.44
  5. Step 5: Solve for x
    x = 20,202,367,108.44/65,813.91
  6. Step 6: Final answer
    x = 306,961.98

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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.