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Finding the Third Proportional to 223,412 and 312,519

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Solution

The third proportional to 223,412 and 312,519 is: 437,165.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,412 : 312,519 = 312,519 : x
  2. Step 2: Convert to fraction form
    223,412/312,519 = 312,519/x
  3. Step 3: Cross multiply
    223,412x = 312,519 × 312,519
  4. Step 4: Simplify right side
    223,412x = 97,668,125,361
  5. Step 5: Solve for x
    x = 97,668,125,361/223,412
  6. Step 6: Final answer
    x = 437,165.98

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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.