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Finding the Third Proportional to 103,078 and 139,819

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Solution

The third proportional to 103,078 and 139,819 is: 189,655.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,078 : 139,819 = 139,819 : x
  2. Step 2: Convert to fraction form
    103,078/139,819 = 139,819/x
  3. Step 3: Cross multiply
    103,078x = 139,819 × 139,819
  4. Step 4: Simplify right side
    103,078x = 19,549,352,761
  5. Step 5: Solve for x
    x = 19,549,352,761/103,078
  6. Step 6: Final answer
    x = 189,655.92

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.