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Finding the Third Proportional to 221,320 and 335,319

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Solution

The third proportional to 221,320 and 335,319 is: 508,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,320 : 335,319 = 335,319 : x
  2. Step 2: Convert to fraction form
    221,320/335,319 = 335,319/x
  3. Step 3: Cross multiply
    221,320x = 335,319 × 335,319
  4. Step 4: Simplify right side
    221,320x = 112,438,831,761
  5. Step 5: Solve for x
    x = 112,438,831,761/221,320
  6. Step 6: Final answer
    x = 508,037.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.