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Finding the Third Proportional to 91,552 and 141,476

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Solution

The third proportional to 91,552 and 141,476 is: 218,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,552 : 141,476 = 141,476 : x
  2. Step 2: Convert to fraction form
    91,552/141,476 = 141,476/x
  3. Step 3: Cross multiply
    91,552x = 141,476 × 141,476
  4. Step 4: Simplify right side
    91,552x = 20,015,458,576
  5. Step 5: Solve for x
    x = 20,015,458,576/91,552
  6. Step 6: Final answer
    x = 218,623.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.