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Finding the Third Proportional to 53,278 and 115,772

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Solution

The third proportional to 53,278 and 115,772 is: 251,570.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,278 : 115,772 = 115,772 : x
  2. Step 2: Convert to fraction form
    53,278/115,772 = 115,772/x
  3. Step 3: Cross multiply
    53,278x = 115,772 × 115,772
  4. Step 4: Simplify right side
    53,278x = 13,403,155,984
  5. Step 5: Solve for x
    x = 13,403,155,984/53,278
  6. Step 6: Final answer
    x = 251,570.18

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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.