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Finding the Third Proportional to 221,688 and 324,666

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Solution

The third proportional to 221,688 and 324,666 is: 475,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,688 : 324,666 = 324,666 : x
  2. Step 2: Convert to fraction form
    221,688/324,666 = 324,666/x
  3. Step 3: Cross multiply
    221,688x = 324,666 × 324,666
  4. Step 4: Simplify right side
    221,688x = 105,408,011,556
  5. Step 5: Solve for x
    x = 105,408,011,556/221,688
  6. Step 6: Final answer
    x = 475,479.10

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Why These Related Problems?

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