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Finding the Third Proportional to 64,650 and 142,261

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Solution

The third proportional to 64,650 and 142,261 is: 313,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,650 : 142,261 = 142,261 : x
  2. Step 2: Convert to fraction form
    64,650/142,261 = 142,261/x
  3. Step 3: Cross multiply
    64,650x = 142,261 × 142,261
  4. Step 4: Simplify right side
    64,650x = 20,238,192,121
  5. Step 5: Solve for x
    x = 20,238,192,121/64,650
  6. Step 6: Final answer
    x = 313,042.41

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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.