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Finding the Third Proportional to 277,584 and 617,280

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Solution

The third proportional to 277,584 and 617,280 is: 1,372,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,584 : 617,280 = 617,280 : x
  2. Step 2: Convert to fraction form
    277,584/617,280 = 617,280/x
  3. Step 3: Cross multiply
    277,584x = 617,280 × 617,280
  4. Step 4: Simplify right side
    277,584x = 381,034,598,400
  5. Step 5: Solve for x
    x = 381,034,598,400/277,584
  6. Step 6: Final answer
    x = 1,372,682.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.