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Finding the Third Proportional to 53,653 and 77,383

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Solution

The third proportional to 53,653 and 77,383 is: 111,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,653 : 77,383 = 77,383 : x
  2. Step 2: Convert to fraction form
    53,653/77,383 = 77,383/x
  3. Step 3: Cross multiply
    53,653x = 77,383 × 77,383
  4. Step 4: Simplify right side
    53,653x = 5,988,128,689
  5. Step 5: Solve for x
    x = 5,988,128,689/53,653
  6. Step 6: Final answer
    x = 111,608.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.