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Finding the Third Proportional to 53,040 and 115,455

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Solution

The third proportional to 53,040 and 115,455 is: 251,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,040 : 115,455 = 115,455 : x
  2. Step 2: Convert to fraction form
    53,040/115,455 = 115,455/x
  3. Step 3: Cross multiply
    53,040x = 115,455 × 115,455
  4. Step 4: Simplify right side
    53,040x = 13,329,857,025
  5. Step 5: Solve for x
    x = 13,329,857,025/53,040
  6. Step 6: Final answer
    x = 251,317.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.