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Finding the Third Proportional to 104,356 and 139,804

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Solution

The third proportional to 104,356 and 139,804 is: 187,293.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,356 : 139,804 = 139,804 : x
  2. Step 2: Convert to fraction form
    104,356/139,804 = 139,804/x
  3. Step 3: Cross multiply
    104,356x = 139,804 × 139,804
  4. Step 4: Simplify right side
    104,356x = 19,545,158,416
  5. Step 5: Solve for x
    x = 19,545,158,416/104,356
  6. Step 6: Final answer
    x = 187,293.10

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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.