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Finding the Third Proportional to 66,231 and 139,498

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Solution

The third proportional to 66,231 and 139,498 is: 293,815.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,231 : 139,498 = 139,498 : x
  2. Step 2: Convert to fraction form
    66,231/139,498 = 139,498/x
  3. Step 3: Cross multiply
    66,231x = 139,498 × 139,498
  4. Step 4: Simplify right side
    66,231x = 19,459,692,004
  5. Step 5: Solve for x
    x = 19,459,692,004/66,231
  6. Step 6: Final answer
    x = 293,815.46

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.