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Finding the Third Proportional to 99,280 and 201,440

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Solution

The third proportional to 99,280 and 201,440 is: 408,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,280 : 201,440 = 201,440 : x
  2. Step 2: Convert to fraction form
    99,280/201,440 = 201,440/x
  3. Step 3: Cross multiply
    99,280x = 201,440 × 201,440
  4. Step 4: Simplify right side
    99,280x = 40,578,073,600
  5. Step 5: Solve for x
    x = 40,578,073,600/99,280
  6. Step 6: Final answer
    x = 408,723.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.