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Finding the Third Proportional to 192,483 and 310,108.50

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Solution

The third proportional to 192,483 and 310,108.50 is: 499,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,483 : 310,108.50 = 310,108.50 : x
  2. Step 2: Convert to fraction form
    192,483/310,108.50 = 310,108.50/x
  3. Step 3: Cross multiply
    192,483x = 310,108.50 × 310,108.50
  4. Step 4: Simplify right side
    192,483x = 96,167,281,772.25
  5. Step 5: Solve for x
    x = 96,167,281,772.25/192,483
  6. Step 6: Final answer
    x = 499,614.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.