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Finding the Third Proportional to 103,126.50 and 139,137.75

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Solution

The third proportional to 103,126.50 and 139,137.75 is: 187,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,126.50 : 139,137.75 = 139,137.75 : x
  2. Step 2: Convert to fraction form
    103,126.50/139,137.75 = 139,137.75/x
  3. Step 3: Cross multiply
    103,126.50x = 139,137.75 × 139,137.75
  4. Step 4: Simplify right side
    103,126.50x = 19,359,313,475.06
  5. Step 5: Solve for x
    x = 19,359,313,475.06/103,126.50
  6. Step 6: Final answer
    x = 187,723.95

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.