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Finding the Third Proportional to 177,942 and 277,122

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Solution

The third proportional to 177,942 and 277,122 is: 431,582.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,942 : 277,122 = 277,122 : x
  2. Step 2: Convert to fraction form
    177,942/277,122 = 277,122/x
  3. Step 3: Cross multiply
    177,942x = 277,122 × 277,122
  4. Step 4: Simplify right side
    177,942x = 76,796,602,884
  5. Step 5: Solve for x
    x = 76,796,602,884/177,942
  6. Step 6: Final answer
    x = 431,582.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.