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Finding the Third Proportional to 64,742 and 140,878

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Solution

The third proportional to 64,742 and 140,878 is: 306,549.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,742 : 140,878 = 140,878 : x
  2. Step 2: Convert to fraction form
    64,742/140,878 = 140,878/x
  3. Step 3: Cross multiply
    64,742x = 140,878 × 140,878
  4. Step 4: Simplify right side
    64,742x = 19,846,610,884
  5. Step 5: Solve for x
    x = 19,846,610,884/64,742
  6. Step 6: Final answer
    x = 306,549.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.