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Finding the Third Proportional to 104,370 and 139,821

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Solution

The third proportional to 104,370 and 139,821 is: 187,313.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,370 : 139,821 = 139,821 : x
  2. Step 2: Convert to fraction form
    104,370/139,821 = 139,821/x
  3. Step 3: Cross multiply
    104,370x = 139,821 × 139,821
  4. Step 4: Simplify right side
    104,370x = 19,549,912,041
  5. Step 5: Solve for x
    x = 19,549,912,041/104,370
  6. Step 6: Final answer
    x = 187,313.52

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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.