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Finding the Third Proportional to 223,188 and 312,168

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Solution

The third proportional to 223,188 and 312,168 is: 436,622.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,188 : 312,168 = 312,168 : x
  2. Step 2: Convert to fraction form
    223,188/312,168 = 312,168/x
  3. Step 3: Cross multiply
    223,188x = 312,168 × 312,168
  4. Step 4: Simplify right side
    223,188x = 97,448,860,224
  5. Step 5: Solve for x
    x = 97,448,860,224/223,188
  6. Step 6: Final answer
    x = 436,622.31

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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.