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Finding the Third Proportional to 221,820 and 341,299

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Solution

The third proportional to 221,820 and 341,299 is: 525,133.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,820 : 341,299 = 341,299 : x
  2. Step 2: Convert to fraction form
    221,820/341,299 = 341,299/x
  3. Step 3: Cross multiply
    221,820x = 341,299 × 341,299
  4. Step 4: Simplify right side
    221,820x = 116,485,007,401
  5. Step 5: Solve for x
    x = 116,485,007,401/221,820
  6. Step 6: Final answer
    x = 525,133.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.