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Finding the Third Proportional to 90,137.63 and 140,122.88

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Solution

The third proportional to 90,137.63 and 140,122.88 is: 217,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,137.63 : 140,122.88 = 140,122.88 : x
  2. Step 2: Convert to fraction form
    90,137.63/140,122.88 = 140,122.88/x
  3. Step 3: Cross multiply
    90,137.63x = 140,122.88 × 140,122.88
  4. Step 4: Simplify right side
    90,137.63x = 19,634,420,098.27
  5. Step 5: Solve for x
    x = 19,634,420,098.27/90,137.63
  6. Step 6: Final answer
    x = 217,827.13

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.