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Finding the Third Proportional to 66,165.19 and 137,934.56

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Solution

The third proportional to 66,165.19 and 137,934.56 is: 287,552.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,165.19 : 137,934.56 = 137,934.56 : x
  2. Step 2: Convert to fraction form
    66,165.19/137,934.56 = 137,934.56/x
  3. Step 3: Cross multiply
    66,165.19x = 137,934.56 × 137,934.56
  4. Step 4: Simplify right side
    66,165.19x = 19,025,943,532.07
  5. Step 5: Solve for x
    x = 19,025,943,532.07/66,165.19
  6. Step 6: Final answer
    x = 287,552.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.