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Finding the Third Proportional to 221,788 and 344,063

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Solution

The third proportional to 221,788 and 344,063 is: 533,750.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,788 : 344,063 = 344,063 : x
  2. Step 2: Convert to fraction form
    221,788/344,063 = 344,063/x
  3. Step 3: Cross multiply
    221,788x = 344,063 × 344,063
  4. Step 4: Simplify right side
    221,788x = 118,379,347,969
  5. Step 5: Solve for x
    x = 118,379,347,969/221,788
  6. Step 6: Final answer
    x = 533,750.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.