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Finding the Third Proportional to 257,561.44 and 553,213.13

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Solution

The third proportional to 257,561.44 and 553,213.13 is: 1,188,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,561.44 : 553,213.13 = 553,213.13 : x
  2. Step 2: Convert to fraction form
    257,561.44/553,213.13 = 553,213.13/x
  3. Step 3: Cross multiply
    257,561.44x = 553,213.13 × 553,213.13
  4. Step 4: Simplify right side
    257,561.44x = 306,044,761,672.27
  5. Step 5: Solve for x
    x = 306,044,761,672.27/257,561.44
  6. Step 6: Final answer
    x = 1,188,239.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.