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Finding the Third Proportional to 64,122 and 140,043

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Solution

The third proportional to 64,122 and 140,043 is: 305,855.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,122 : 140,043 = 140,043 : x
  2. Step 2: Convert to fraction form
    64,122/140,043 = 140,043/x
  3. Step 3: Cross multiply
    64,122x = 140,043 × 140,043
  4. Step 4: Simplify right side
    64,122x = 19,612,041,849
  5. Step 5: Solve for x
    x = 19,612,041,849/64,122
  6. Step 6: Final answer
    x = 305,855.12

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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.