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Finding the Third Proportional to 122,213.81 and 256,532.06

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Solution

The third proportional to 122,213.81 and 256,532.06 is: 538,471.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,213.81 : 256,532.06 = 256,532.06 : x
  2. Step 2: Convert to fraction form
    122,213.81/256,532.06 = 256,532.06/x
  3. Step 3: Cross multiply
    122,213.81x = 256,532.06 × 256,532.06
  4. Step 4: Simplify right side
    122,213.81x = 65,808,699,090.50
  5. Step 5: Solve for x
    x = 65,808,699,090.50/122,213.81
  6. Step 6: Final answer
    x = 538,471.86

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.