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Finding the Third Proportional to 150,637 and 199,915

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Solution

The third proportional to 150,637 and 199,915 is: 265,313.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,637 : 199,915 = 199,915 : x
  2. Step 2: Convert to fraction form
    150,637/199,915 = 199,915/x
  3. Step 3: Cross multiply
    150,637x = 199,915 × 199,915
  4. Step 4: Simplify right side
    150,637x = 39,966,007,225
  5. Step 5: Solve for x
    x = 39,966,007,225/150,637
  6. Step 6: Final answer
    x = 265,313.35

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.