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Finding the Third Proportional to 104,386 and 139,827

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Solution

The third proportional to 104,386 and 139,827 is: 187,300.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,386 : 139,827 = 139,827 : x
  2. Step 2: Convert to fraction form
    104,386/139,827 = 139,827/x
  3. Step 3: Cross multiply
    104,386x = 139,827 × 139,827
  4. Step 4: Simplify right side
    104,386x = 19,551,589,929
  5. Step 5: Solve for x
    x = 19,551,589,929/104,386
  6. Step 6: Final answer
    x = 187,300.88

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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.