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Finding the Third Proportional to 66,592.50 and 144,936

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Solution

The third proportional to 66,592.50 and 144,936 is: 315,447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,592.50 : 144,936 = 144,936 : x
  2. Step 2: Convert to fraction form
    66,592.50/144,936 = 144,936/x
  3. Step 3: Cross multiply
    66,592.50x = 144,936 × 144,936
  4. Step 4: Simplify right side
    66,592.50x = 21,006,444,096
  5. Step 5: Solve for x
    x = 21,006,444,096/66,592.50
  6. Step 6: Final answer
    x = 315,447.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.