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Finding the Third Proportional to 222,416.63 and 344,685.38

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Solution

The third proportional to 222,416.63 and 344,685.38 is: 534,168.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,416.63 : 344,685.38 = 344,685.38 : x
  2. Step 2: Convert to fraction form
    222,416.63/344,685.38 = 344,685.38/x
  3. Step 3: Cross multiply
    222,416.63x = 344,685.38 × 344,685.38
  4. Step 4: Simplify right side
    222,416.63x = 118,808,007,738.89
  5. Step 5: Solve for x
    x = 118,808,007,738.89/222,416.63
  6. Step 6: Final answer
    x = 534,168.74

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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.