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Finding the Third Proportional to 178,324 and 277,009

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Solution

The third proportional to 178,324 and 277,009 is: 430,306.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,324 : 277,009 = 277,009 : x
  2. Step 2: Convert to fraction form
    178,324/277,009 = 277,009/x
  3. Step 3: Cross multiply
    178,324x = 277,009 × 277,009
  4. Step 4: Simplify right side
    178,324x = 76,733,986,081
  5. Step 5: Solve for x
    x = 76,733,986,081/178,324
  6. Step 6: Final answer
    x = 430,306.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.