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Finding the Third Proportional to 66,087.14 and 139,708.55

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Solution

The third proportional to 66,087.14 and 139,708.55 is: 295,344.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,087.14 : 139,708.55 = 139,708.55 : x
  2. Step 2: Convert to fraction form
    66,087.14/139,708.55 = 139,708.55/x
  3. Step 3: Cross multiply
    66,087.14x = 139,708.55 × 139,708.55
  4. Step 4: Simplify right side
    66,087.14x = 19,518,478,069.92
  5. Step 5: Solve for x
    x = 19,518,478,069.92/66,087.14
  6. Step 6: Final answer
    x = 295,344.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.