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Finding the Third Proportional to 64,330 and 84,783

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Solution

The third proportional to 64,330 and 84,783 is: 111,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,330 : 84,783 = 84,783 : x
  2. Step 2: Convert to fraction form
    64,330/84,783 = 84,783/x
  3. Step 3: Cross multiply
    64,330x = 84,783 × 84,783
  4. Step 4: Simplify right side
    64,330x = 7,188,157,089
  5. Step 5: Solve for x
    x = 7,188,157,089/64,330
  6. Step 6: Final answer
    x = 111,738.80

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.