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Finding the Third Proportional to 53,387 and 123,575

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Solution

The third proportional to 53,387 and 123,575 is: 286,039.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,387 : 123,575 = 123,575 : x
  2. Step 2: Convert to fraction form
    53,387/123,575 = 123,575/x
  3. Step 3: Cross multiply
    53,387x = 123,575 × 123,575
  4. Step 4: Simplify right side
    53,387x = 15,270,780,625
  5. Step 5: Solve for x
    x = 15,270,780,625/53,387
  6. Step 6: Final answer
    x = 286,039.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.