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Finding the Third Proportional to 103,178 and 139,207

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Solution

The third proportional to 103,178 and 139,207 is: 187,817.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,178 : 139,207 = 139,207 : x
  2. Step 2: Convert to fraction form
    103,178/139,207 = 139,207/x
  3. Step 3: Cross multiply
    103,178x = 139,207 × 139,207
  4. Step 4: Simplify right side
    103,178x = 19,378,588,849
  5. Step 5: Solve for x
    x = 19,378,588,849/103,178
  6. Step 6: Final answer
    x = 187,817.06

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.