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Finding the Third Proportional to 210,687.75 and 298,117.13

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Solution

The third proportional to 210,687.75 and 298,117.13 is: 421,827.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,687.75 : 298,117.13 = 298,117.13 : x
  2. Step 2: Convert to fraction form
    210,687.75/298,117.13 = 298,117.13/x
  3. Step 3: Cross multiply
    210,687.75x = 298,117.13 × 298,117.13
  4. Step 4: Simplify right side
    210,687.75x = 88,873,820,218.27
  5. Step 5: Solve for x
    x = 88,873,820,218.27/210,687.75
  6. Step 6: Final answer
    x = 421,827.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.