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Finding the Third Proportional to 66,951 and 139,446

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Solution

The third proportional to 66,951 and 139,446 is: 290,439.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,951 : 139,446 = 139,446 : x
  2. Step 2: Convert to fraction form
    66,951/139,446 = 139,446/x
  3. Step 3: Cross multiply
    66,951x = 139,446 × 139,446
  4. Step 4: Simplify right side
    66,951x = 19,445,186,916
  5. Step 5: Solve for x
    x = 19,445,186,916/66,951
  6. Step 6: Final answer
    x = 290,439.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.