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Finding the Third Proportional to 64,678 and 91,293

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Solution

The third proportional to 64,678 and 91,293 is: 128,860.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,678 : 91,293 = 91,293 : x
  2. Step 2: Convert to fraction form
    64,678/91,293 = 91,293/x
  3. Step 3: Cross multiply
    64,678x = 91,293 × 91,293
  4. Step 4: Simplify right side
    64,678x = 8,334,411,849
  5. Step 5: Solve for x
    x = 8,334,411,849/64,678
  6. Step 6: Final answer
    x = 128,860.07

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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.