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Finding the Third Proportional to 222,440 and 344,720

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Solution

The third proportional to 222,440 and 344,720 is: 534,219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,440 : 344,720 = 344,720 : x
  2. Step 2: Convert to fraction form
    222,440/344,720 = 344,720/x
  3. Step 3: Cross multiply
    222,440x = 344,720 × 344,720
  4. Step 4: Simplify right side
    222,440x = 118,831,878,400
  5. Step 5: Solve for x
    x = 118,831,878,400/222,440
  6. Step 6: Final answer
    x = 534,219.92

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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.