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Finding the Third Proportional to 136,216.69 and 212,603.53

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Solution

The third proportional to 136,216.69 and 212,603.53 is: 331,826.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,216.69 : 212,603.53 = 212,603.53 : x
  2. Step 2: Convert to fraction form
    136,216.69/212,603.53 = 212,603.53/x
  3. Step 3: Cross multiply
    136,216.69x = 212,603.53 × 212,603.53
  4. Step 4: Simplify right side
    136,216.69x = 45,200,261,499.97
  5. Step 5: Solve for x
    x = 45,200,261,499.97/136,216.69
  6. Step 6: Final answer
    x = 331,826.17

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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.