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Finding the Third Proportional to 64,646.75 and 142,253.50

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Solution

The third proportional to 64,646.75 and 142,253.50 is: 313,025.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,646.75 : 142,253.50 = 142,253.50 : x
  2. Step 2: Convert to fraction form
    64,646.75/142,253.50 = 142,253.50/x
  3. Step 3: Cross multiply
    64,646.75x = 142,253.50 × 142,253.50
  4. Step 4: Simplify right side
    64,646.75x = 20,236,058,262.25
  5. Step 5: Solve for x
    x = 20,236,058,262.25/64,646.75
  6. Step 6: Final answer
    x = 313,025.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.