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Finding the Third Proportional to 53,239 and 117,281

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Solution

The third proportional to 53,239 and 117,281 is: 258,360.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,239 : 117,281 = 117,281 : x
  2. Step 2: Convert to fraction form
    53,239/117,281 = 117,281/x
  3. Step 3: Cross multiply
    53,239x = 117,281 × 117,281
  4. Step 4: Simplify right side
    53,239x = 13,754,832,961
  5. Step 5: Solve for x
    x = 13,754,832,961/53,239
  6. Step 6: Final answer
    x = 258,360.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.