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Finding the Third Proportional to 223,262 and 312,289

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Solution

The third proportional to 223,262 and 312,289 is: 436,816.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,262 : 312,289 = 312,289 : x
  2. Step 2: Convert to fraction form
    223,262/312,289 = 312,289/x
  3. Step 3: Cross multiply
    223,262x = 312,289 × 312,289
  4. Step 4: Simplify right side
    223,262x = 97,524,419,521
  5. Step 5: Solve for x
    x = 97,524,419,521/223,262
  6. Step 6: Final answer
    x = 436,816.03

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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.