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Finding the Third Proportional to 91,376 and 143,220

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Solution

The third proportional to 91,376 and 143,220 is: 224,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,376 : 143,220 = 143,220 : x
  2. Step 2: Convert to fraction form
    91,376/143,220 = 143,220/x
  3. Step 3: Cross multiply
    91,376x = 143,220 × 143,220
  4. Step 4: Simplify right side
    91,376x = 20,511,968,400
  5. Step 5: Solve for x
    x = 20,511,968,400/91,376
  6. Step 6: Final answer
    x = 224,478.73

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.