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Finding the Third Proportional to 64,388 and 142,599

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Solution

The third proportional to 64,388 and 142,599 is: 315,811.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,388 : 142,599 = 142,599 : x
  2. Step 2: Convert to fraction form
    64,388/142,599 = 142,599/x
  3. Step 3: Cross multiply
    64,388x = 142,599 × 142,599
  4. Step 4: Simplify right side
    64,388x = 20,334,474,801
  5. Step 5: Solve for x
    x = 20,334,474,801/64,388
  6. Step 6: Final answer
    x = 315,811.56

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.