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Finding the Third Proportional to 66,557 and 144,191

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Solution

The third proportional to 66,557 and 144,191 is: 312,379.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,557 : 144,191 = 144,191 : x
  2. Step 2: Convert to fraction form
    66,557/144,191 = 144,191/x
  3. Step 3: Cross multiply
    66,557x = 144,191 × 144,191
  4. Step 4: Simplify right side
    66,557x = 20,791,044,481
  5. Step 5: Solve for x
    x = 20,791,044,481/66,557
  6. Step 6: Final answer
    x = 312,379.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.