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Finding the Third Proportional to 392,344.50 and 555,321

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Solution

The third proportional to 392,344.50 and 555,321 is: 785,996.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,344.50 : 555,321 = 555,321 : x
  2. Step 2: Convert to fraction form
    392,344.50/555,321 = 555,321/x
  3. Step 3: Cross multiply
    392,344.50x = 555,321 × 555,321
  4. Step 4: Simplify right side
    392,344.50x = 308,381,413,041
  5. Step 5: Solve for x
    x = 308,381,413,041/392,344.50
  6. Step 6: Final answer
    x = 785,996.52

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.