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Finding the Third Proportional to 103,799 and 139,475

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Solution

The third proportional to 103,799 and 139,475 is: 187,412.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,799 : 139,475 = 139,475 : x
  2. Step 2: Convert to fraction form
    103,799/139,475 = 139,475/x
  3. Step 3: Cross multiply
    103,799x = 139,475 × 139,475
  4. Step 4: Simplify right side
    103,799x = 19,453,275,625
  5. Step 5: Solve for x
    x = 19,453,275,625/103,799
  6. Step 6: Final answer
    x = 187,412.94

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.