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Finding the Third Proportional to 178,354 and 277,055

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Solution

The third proportional to 178,354 and 277,055 is: 430,377.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,354 : 277,055 = 277,055 : x
  2. Step 2: Convert to fraction form
    178,354/277,055 = 277,055/x
  3. Step 3: Cross multiply
    178,354x = 277,055 × 277,055
  4. Step 4: Simplify right side
    178,354x = 76,759,473,025
  5. Step 5: Solve for x
    x = 76,759,473,025/178,354
  6. Step 6: Final answer
    x = 430,377.08

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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.