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Finding the Third Proportional to 64,678 and 91,292

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Solution

The third proportional to 64,678 and 91,292 is: 128,857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,678 : 91,292 = 91,292 : x
  2. Step 2: Convert to fraction form
    64,678/91,292 = 91,292/x
  3. Step 3: Cross multiply
    64,678x = 91,292 × 91,292
  4. Step 4: Simplify right side
    64,678x = 8,334,229,264
  5. Step 5: Solve for x
    x = 8,334,229,264/64,678
  6. Step 6: Final answer
    x = 128,857.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.