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Finding the Third Proportional to 66,606 and 139,370

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Solution

The third proportional to 66,606 and 139,370 is: 291,625.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,606 : 139,370 = 139,370 : x
  2. Step 2: Convert to fraction form
    66,606/139,370 = 139,370/x
  3. Step 3: Cross multiply
    66,606x = 139,370 × 139,370
  4. Step 4: Simplify right side
    66,606x = 19,423,996,900
  5. Step 5: Solve for x
    x = 19,423,996,900/66,606
  6. Step 6: Final answer
    x = 291,625.33

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.