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Finding the Third Proportional to 66,050 and 143,164

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Solution

The third proportional to 66,050 and 143,164 is: 310,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,050 : 143,164 = 143,164 : x
  2. Step 2: Convert to fraction form
    66,050/143,164 = 143,164/x
  3. Step 3: Cross multiply
    66,050x = 143,164 × 143,164
  4. Step 4: Simplify right side
    66,050x = 20,495,930,896
  5. Step 5: Solve for x
    x = 20,495,930,896/66,050
  6. Step 6: Final answer
    x = 310,309.32

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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.