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Finding the Third Proportional to 223,270 and 312,301

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Solution

The third proportional to 223,270 and 312,301 is: 436,833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,270 : 312,301 = 312,301 : x
  2. Step 2: Convert to fraction form
    223,270/312,301 = 312,301/x
  3. Step 3: Cross multiply
    223,270x = 312,301 × 312,301
  4. Step 4: Simplify right side
    223,270x = 97,531,914,601
  5. Step 5: Solve for x
    x = 97,531,914,601/223,270
  6. Step 6: Final answer
    x = 436,833.94

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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.