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Finding the Third Proportional to 179,380 and 277,590

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Solution

The third proportional to 179,380 and 277,590 is: 429,569.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,380 : 277,590 = 277,590 : x
  2. Step 2: Convert to fraction form
    179,380/277,590 = 277,590/x
  3. Step 3: Cross multiply
    179,380x = 277,590 × 277,590
  4. Step 4: Simplify right side
    179,380x = 77,056,208,100
  5. Step 5: Solve for x
    x = 77,056,208,100/179,380
  6. Step 6: Final answer
    x = 429,569.67

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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.