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Finding the Third Proportional to 311,728 and 455,924

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Solution

The third proportional to 311,728 and 455,924 is: 666,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,728 : 455,924 = 455,924 : x
  2. Step 2: Convert to fraction form
    311,728/455,924 = 455,924/x
  3. Step 3: Cross multiply
    311,728x = 455,924 × 455,924
  4. Step 4: Simplify right side
    311,728x = 207,866,693,776
  5. Step 5: Solve for x
    x = 207,866,693,776/311,728
  6. Step 6: Final answer
    x = 666,820.73

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.