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Finding the Third Proportional to 192,489 and 299,612.50

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Solution

The third proportional to 192,489 and 299,612.50 is: 466,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,489 : 299,612.50 = 299,612.50 : x
  2. Step 2: Convert to fraction form
    192,489/299,612.50 = 299,612.50/x
  3. Step 3: Cross multiply
    192,489x = 299,612.50 × 299,612.50
  4. Step 4: Simplify right side
    192,489x = 89,767,650,156.25
  5. Step 5: Solve for x
    x = 89,767,650,156.25/192,489
  6. Step 6: Final answer
    x = 466,352.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.