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Finding the Third Proportional to 220,866 and 344,421

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Solution

The third proportional to 220,866 and 344,421 is: 537,094.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,866 : 344,421 = 344,421 : x
  2. Step 2: Convert to fraction form
    220,866/344,421 = 344,421/x
  3. Step 3: Cross multiply
    220,866x = 344,421 × 344,421
  4. Step 4: Simplify right side
    220,866x = 118,625,825,241
  5. Step 5: Solve for x
    x = 118,625,825,241/220,866
  6. Step 6: Final answer
    x = 537,094.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.