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Finding the Third Proportional to 178,344 and 277,038

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Solution

The third proportional to 178,344 and 277,038 is: 430,348.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,344 : 277,038 = 277,038 : x
  2. Step 2: Convert to fraction form
    178,344/277,038 = 277,038/x
  3. Step 3: Cross multiply
    178,344x = 277,038 × 277,038
  4. Step 4: Simplify right side
    178,344x = 76,750,053,444
  5. Step 5: Solve for x
    x = 76,750,053,444/178,344
  6. Step 6: Final answer
    x = 430,348.39

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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.