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Finding the Third Proportional to 319,410 and 496,638

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Solution

The third proportional to 319,410 and 496,638 is: 772,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,410 : 496,638 = 496,638 : x
  2. Step 2: Convert to fraction form
    319,410/496,638 = 496,638/x
  3. Step 3: Cross multiply
    319,410x = 496,638 × 496,638
  4. Step 4: Simplify right side
    319,410x = 246,649,303,044
  5. Step 5: Solve for x
    x = 246,649,303,044/319,410
  6. Step 6: Final answer
    x = 772,202.82

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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.