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Finding the Third Proportional to 117,280 and 276,580

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Solution

The third proportional to 117,280 and 276,580 is: 652,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,280 : 276,580 = 276,580 : x
  2. Step 2: Convert to fraction form
    117,280/276,580 = 276,580/x
  3. Step 3: Cross multiply
    117,280x = 276,580 × 276,580
  4. Step 4: Simplify right side
    117,280x = 76,496,496,400
  5. Step 5: Solve for x
    x = 76,496,496,400/117,280
  6. Step 6: Final answer
    x = 652,255.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.