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Finding the Third Proportional to 131,018 and 197,612

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Solution

The third proportional to 131,018 and 197,612 is: 298,054.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,018 : 197,612 = 197,612 : x
  2. Step 2: Convert to fraction form
    131,018/197,612 = 197,612/x
  3. Step 3: Cross multiply
    131,018x = 197,612 × 197,612
  4. Step 4: Simplify right side
    131,018x = 39,050,502,544
  5. Step 5: Solve for x
    x = 39,050,502,544/131,018
  6. Step 6: Final answer
    x = 298,054.49

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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.