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Finding the Third Proportional to 221,360 and 318,208

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Solution

The third proportional to 221,360 and 318,208 is: 457,428.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,360 : 318,208 = 318,208 : x
  2. Step 2: Convert to fraction form
    221,360/318,208 = 318,208/x
  3. Step 3: Cross multiply
    221,360x = 318,208 × 318,208
  4. Step 4: Simplify right side
    221,360x = 101,256,331,264
  5. Step 5: Solve for x
    x = 101,256,331,264/221,360
  6. Step 6: Final answer
    x = 457,428.31

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.