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Finding the Third Proportional to 221,649 and 351,030

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Solution

The third proportional to 221,649 and 351,030 is: 555,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,649 : 351,030 = 351,030 : x
  2. Step 2: Convert to fraction form
    221,649/351,030 = 351,030/x
  3. Step 3: Cross multiply
    221,649x = 351,030 × 351,030
  4. Step 4: Simplify right side
    221,649x = 123,222,060,900
  5. Step 5: Solve for x
    x = 123,222,060,900/221,649
  6. Step 6: Final answer
    x = 555,933.30

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.