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Finding the Third Proportional to 267,657.75 and 430,322.63

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Solution

The third proportional to 267,657.75 and 430,322.63 is: 691,844.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,657.75 : 430,322.63 = 430,322.63 : x
  2. Step 2: Convert to fraction form
    267,657.75/430,322.63 = 430,322.63/x
  3. Step 3: Cross multiply
    267,657.75x = 430,322.63 × 430,322.63
  4. Step 4: Simplify right side
    267,657.75x = 185,177,561,586.89
  5. Step 5: Solve for x
    x = 185,177,561,586.89/267,657.75
  6. Step 6: Final answer
    x = 691,844.57

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.