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Finding the Third Proportional to 64,438 and 102,255

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Solution

The third proportional to 64,438 and 102,255 is: 162,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,438 : 102,255 = 102,255 : x
  2. Step 2: Convert to fraction form
    64,438/102,255 = 102,255/x
  3. Step 3: Cross multiply
    64,438x = 102,255 × 102,255
  4. Step 4: Simplify right side
    64,438x = 10,456,085,025
  5. Step 5: Solve for x
    x = 10,456,085,025/64,438
  6. Step 6: Final answer
    x = 162,265.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.