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Finding the Third Proportional to 53,485 and 115,434

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Solution

The third proportional to 53,485 and 115,434 is: 249,135.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,485 : 115,434 = 115,434 : x
  2. Step 2: Convert to fraction form
    53,485/115,434 = 115,434/x
  3. Step 3: Cross multiply
    53,485x = 115,434 × 115,434
  4. Step 4: Simplify right side
    53,485x = 13,325,008,356
  5. Step 5: Solve for x
    x = 13,325,008,356/53,485
  6. Step 6: Final answer
    x = 249,135.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.