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Finding the Third Proportional to 131,415 and 198,762

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Solution

The third proportional to 131,415 and 198,762 is: 300,622.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,415 : 198,762 = 198,762 : x
  2. Step 2: Convert to fraction form
    131,415/198,762 = 198,762/x
  3. Step 3: Cross multiply
    131,415x = 198,762 × 198,762
  4. Step 4: Simplify right side
    131,415x = 39,506,332,644
  5. Step 5: Solve for x
    x = 39,506,332,644/131,415
  6. Step 6: Final answer
    x = 300,622.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.