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Finding the Third Proportional to 66,208 and 156,160

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Solution

The third proportional to 66,208 and 156,160 is: 368,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,208 : 156,160 = 156,160 : x
  2. Step 2: Convert to fraction form
    66,208/156,160 = 156,160/x
  3. Step 3: Cross multiply
    66,208x = 156,160 × 156,160
  4. Step 4: Simplify right side
    66,208x = 24,385,945,600
  5. Step 5: Solve for x
    x = 24,385,945,600/66,208
  6. Step 6: Final answer
    x = 368,323.25

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.