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Finding the Third Proportional to 222,752 and 344,678

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Solution

The third proportional to 222,752 and 344,678 is: 533,341.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,752 : 344,678 = 344,678 : x
  2. Step 2: Convert to fraction form
    222,752/344,678 = 344,678/x
  3. Step 3: Cross multiply
    222,752x = 344,678 × 344,678
  4. Step 4: Simplify right side
    222,752x = 118,802,923,684
  5. Step 5: Solve for x
    x = 118,802,923,684/222,752
  6. Step 6: Final answer
    x = 533,341.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.