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Finding the Third Proportional to 178,720 and 277,880

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Solution

The third proportional to 178,720 and 277,880 is: 432,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,720 : 277,880 = 277,880 : x
  2. Step 2: Convert to fraction form
    178,720/277,880 = 277,880/x
  3. Step 3: Cross multiply
    178,720x = 277,880 × 277,880
  4. Step 4: Simplify right side
    178,720x = 77,217,294,400
  5. Step 5: Solve for x
    x = 77,217,294,400/178,720
  6. Step 6: Final answer
    x = 432,057.38

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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.