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Finding the Third Proportional to 66,228.89 and 139,493.39

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Solution

The third proportional to 66,228.89 and 139,493.39 is: 293,805.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,228.89 : 139,493.39 = 139,493.39 : x
  2. Step 2: Convert to fraction form
    66,228.89/139,493.39 = 139,493.39/x
  3. Step 3: Cross multiply
    66,228.89x = 139,493.39 × 139,493.39
  4. Step 4: Simplify right side
    66,228.89x = 19,458,406,028.06
  5. Step 5: Solve for x
    x = 19,458,406,028.06/66,228.89
  6. Step 6: Final answer
    x = 293,805.40

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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.