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Finding the Third Proportional to 321,482 and 485,136

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Solution

The third proportional to 321,482 and 485,136 is: 732,099.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,482 : 485,136 = 485,136 : x
  2. Step 2: Convert to fraction form
    321,482/485,136 = 485,136/x
  3. Step 3: Cross multiply
    321,482x = 485,136 × 485,136
  4. Step 4: Simplify right side
    321,482x = 235,356,938,496
  5. Step 5: Solve for x
    x = 235,356,938,496/321,482
  6. Step 6: Final answer
    x = 732,099.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.