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Finding the Third Proportional to 66,369 and 140,511

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Solution

The third proportional to 66,369 and 140,511 is: 297,478.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,369 : 140,511 = 140,511 : x
  2. Step 2: Convert to fraction form
    66,369/140,511 = 140,511/x
  3. Step 3: Cross multiply
    66,369x = 140,511 × 140,511
  4. Step 4: Simplify right side
    66,369x = 19,743,341,121
  5. Step 5: Solve for x
    x = 19,743,341,121/66,369
  6. Step 6: Final answer
    x = 297,478.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.