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Finding the Third Proportional to 66,358 and 140,491

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Solution

The third proportional to 66,358 and 140,491 is: 297,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,358 : 140,491 = 140,491 : x
  2. Step 2: Convert to fraction form
    66,358/140,491 = 140,491/x
  3. Step 3: Cross multiply
    66,358x = 140,491 × 140,491
  4. Step 4: Simplify right side
    66,358x = 19,737,721,081
  5. Step 5: Solve for x
    x = 19,737,721,081/66,358
  6. Step 6: Final answer
    x = 297,442.98

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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.