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Finding the Third Proportional to 66,615 and 140,712

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Solution

The third proportional to 66,615 and 140,712 is: 297,228.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,615 : 140,712 = 140,712 : x
  2. Step 2: Convert to fraction form
    66,615/140,712 = 140,712/x
  3. Step 3: Cross multiply
    66,615x = 140,712 × 140,712
  4. Step 4: Simplify right side
    66,615x = 19,799,866,944
  5. Step 5: Solve for x
    x = 19,799,866,944/66,615
  6. Step 6: Final answer
    x = 297,228.36

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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.