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Finding the Third Proportional to 219,322 and 321,378

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Solution

The third proportional to 219,322 and 321,378 is: 470,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,322 : 321,378 = 321,378 : x
  2. Step 2: Convert to fraction form
    219,322/321,378 = 321,378/x
  3. Step 3: Cross multiply
    219,322x = 321,378 × 321,378
  4. Step 4: Simplify right side
    219,322x = 103,283,818,884
  5. Step 5: Solve for x
    x = 103,283,818,884/219,322
  6. Step 6: Final answer
    x = 470,923.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.