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Finding the Third Proportional to 198,480 and 277,632

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Solution

The third proportional to 198,480 and 277,632 is: 388,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,480 : 277,632 = 277,632 : x
  2. Step 2: Convert to fraction form
    198,480/277,632 = 277,632/x
  3. Step 3: Cross multiply
    198,480x = 277,632 × 277,632
  4. Step 4: Simplify right side
    198,480x = 77,079,527,424
  5. Step 5: Solve for x
    x = 77,079,527,424/198,480
  6. Step 6: Final answer
    x = 388,349.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.