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Finding the Third Proportional to 221,346 and 336,210

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Solution

The third proportional to 221,346 and 336,210 is: 510,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,346 : 336,210 = 336,210 : x
  2. Step 2: Convert to fraction form
    221,346/336,210 = 336,210/x
  3. Step 3: Cross multiply
    221,346x = 336,210 × 336,210
  4. Step 4: Simplify right side
    221,346x = 113,037,164,100
  5. Step 5: Solve for x
    x = 113,037,164,100/221,346
  6. Step 6: Final answer
    x = 510,680.85

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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.