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Finding the Third Proportional to 71,364 and 155,440

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Solution

The third proportional to 71,364 and 155,440 is: 338,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,364 : 155,440 = 155,440 : x
  2. Step 2: Convert to fraction form
    71,364/155,440 = 155,440/x
  3. Step 3: Cross multiply
    71,364x = 155,440 × 155,440
  4. Step 4: Simplify right side
    71,364x = 24,161,593,600
  5. Step 5: Solve for x
    x = 24,161,593,600/71,364
  6. Step 6: Final answer
    x = 338,568.38

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.