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Finding the Third Proportional to 179,498 and 277,911

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Solution

The third proportional to 179,498 and 277,911 is: 430,280.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,498 : 277,911 = 277,911 : x
  2. Step 2: Convert to fraction form
    179,498/277,911 = 277,911/x
  3. Step 3: Cross multiply
    179,498x = 277,911 × 277,911
  4. Step 4: Simplify right side
    179,498x = 77,234,523,921
  5. Step 5: Solve for x
    x = 77,234,523,921/179,498
  6. Step 6: Final answer
    x = 430,280.69

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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.