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Finding the Third Proportional to 210,178.13 and 256,348.13

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Solution

The third proportional to 210,178.13 and 256,348.13 is: 312,660.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,178.13 : 256,348.13 = 256,348.13 : x
  2. Step 2: Convert to fraction form
    210,178.13/256,348.13 = 256,348.13/x
  3. Step 3: Cross multiply
    210,178.13x = 256,348.13 × 256,348.13
  4. Step 4: Simplify right side
    210,178.13x = 65,714,361,191.02
  5. Step 5: Solve for x
    x = 65,714,361,191.02/210,178.13
  6. Step 6: Final answer
    x = 312,660.33

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.