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Finding the Third Proportional to 81,312 and 149,124

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Solution

The third proportional to 81,312 and 149,124 is: 273,489.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,312 : 149,124 = 149,124 : x
  2. Step 2: Convert to fraction form
    81,312/149,124 = 149,124/x
  3. Step 3: Cross multiply
    81,312x = 149,124 × 149,124
  4. Step 4: Simplify right side
    81,312x = 22,237,967,376
  5. Step 5: Solve for x
    x = 22,237,967,376/81,312
  6. Step 6: Final answer
    x = 273,489.37

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.