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Finding the Third Proportional to 319,644 and 496,275

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Solution

The third proportional to 319,644 and 496,275 is: 770,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,644 : 496,275 = 496,275 : x
  2. Step 2: Convert to fraction form
    319,644/496,275 = 496,275/x
  3. Step 3: Cross multiply
    319,644x = 496,275 × 496,275
  4. Step 4: Simplify right side
    319,644x = 246,288,875,625
  5. Step 5: Solve for x
    x = 246,288,875,625/319,644
  6. Step 6: Final answer
    x = 770,509.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.