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Finding the Third Proportional to 103,625 and 128,563

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Solution

The third proportional to 103,625 and 128,563 is: 159,502.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,625 : 128,563 = 128,563 : x
  2. Step 2: Convert to fraction form
    103,625/128,563 = 128,563/x
  3. Step 3: Cross multiply
    103,625x = 128,563 × 128,563
  4. Step 4: Simplify right side
    103,625x = 16,528,444,969
  5. Step 5: Solve for x
    x = 16,528,444,969/103,625
  6. Step 6: Final answer
    x = 159,502.48

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.