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Finding the Third Proportional to 223,418 and 312,523

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Solution

The third proportional to 223,418 and 312,523 is: 437,165.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,418 : 312,523 = 312,523 : x
  2. Step 2: Convert to fraction form
    223,418/312,523 = 312,523/x
  3. Step 3: Cross multiply
    223,418x = 312,523 × 312,523
  4. Step 4: Simplify right side
    223,418x = 97,670,625,529
  5. Step 5: Solve for x
    x = 97,670,625,529/223,418
  6. Step 6: Final answer
    x = 437,165.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.