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Finding the Third Proportional to 321,477 and 485,130

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Solution

The third proportional to 321,477 and 485,130 is: 732,093.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,477 : 485,130 = 485,130 : x
  2. Step 2: Convert to fraction form
    321,477/485,130 = 485,130/x
  3. Step 3: Cross multiply
    321,477x = 485,130 × 485,130
  4. Step 4: Simplify right side
    321,477x = 235,351,116,900
  5. Step 5: Solve for x
    x = 235,351,116,900/321,477
  6. Step 6: Final answer
    x = 732,093.17

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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.