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Finding the Third Proportional to 54,219 and 117,488

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Solution

The third proportional to 54,219 and 117,488 is: 254,586.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,219 : 117,488 = 117,488 : x
  2. Step 2: Convert to fraction form
    54,219/117,488 = 117,488/x
  3. Step 3: Cross multiply
    54,219x = 117,488 × 117,488
  4. Step 4: Simplify right side
    54,219x = 13,803,430,144
  5. Step 5: Solve for x
    x = 13,803,430,144/54,219
  6. Step 6: Final answer
    x = 254,586.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.