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Finding the Third Proportional to 392,344 and 555,319

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Solution

The third proportional to 392,344 and 555,319 is: 785,991.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,344 : 555,319 = 555,319 : x
  2. Step 2: Convert to fraction form
    392,344/555,319 = 555,319/x
  3. Step 3: Cross multiply
    392,344x = 555,319 × 555,319
  4. Step 4: Simplify right side
    392,344x = 308,379,191,761
  5. Step 5: Solve for x
    x = 308,379,191,761/392,344
  6. Step 6: Final answer
    x = 785,991.86

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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.