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Finding the Third Proportional to 321,859 and 486,932

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Solution

The third proportional to 321,859 and 486,932 is: 736,666.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,859 : 486,932 = 486,932 : x
  2. Step 2: Convert to fraction form
    321,859/486,932 = 486,932/x
  3. Step 3: Cross multiply
    321,859x = 486,932 × 486,932
  4. Step 4: Simplify right side
    321,859x = 237,102,772,624
  5. Step 5: Solve for x
    x = 237,102,772,624/321,859
  6. Step 6: Final answer
    x = 736,666.59

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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.