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Finding the Third Proportional to 318,390 and 496,953

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Solution

The third proportional to 318,390 and 496,953 is: 775,659.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,390 : 496,953 = 496,953 : x
  2. Step 2: Convert to fraction form
    318,390/496,953 = 496,953/x
  3. Step 3: Cross multiply
    318,390x = 496,953 × 496,953
  4. Step 4: Simplify right side
    318,390x = 246,962,284,209
  5. Step 5: Solve for x
    x = 246,962,284,209/318,390
  6. Step 6: Final answer
    x = 775,659.68

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.