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Finding the Third Proportional to 90,313.88 and 140,642.44

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Solution

The third proportional to 90,313.88 and 140,642.44 is: 219,017.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,313.88 : 140,642.44 = 140,642.44 : x
  2. Step 2: Convert to fraction form
    90,313.88/140,642.44 = 140,642.44/x
  3. Step 3: Cross multiply
    90,313.88x = 140,642.44 × 140,642.44
  4. Step 4: Simplify right side
    90,313.88x = 19,780,295,225.94
  5. Step 5: Solve for x
    x = 19,780,295,225.94/90,313.88
  6. Step 6: Final answer
    x = 219,017.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.