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Finding the Third Proportional to 234,440,914.50 and 344,637,027

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Solution

The third proportional to 234,440,914.50 and 344,637,027 is: 506,629,487.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,440,914.50 : 344,637,027 = 344,637,027 : x
  2. Step 2: Convert to fraction form
    234,440,914.50/344,637,027 = 344,637,027/x
  3. Step 3: Cross multiply
    234,440,914.50x = 344,637,027 × 344,637,027
  4. Step 4: Simplify right side
    234,440,914.50x = 118,774,680,379,398,736
  5. Step 5: Solve for x
    x = 118,774,680,379,398,736/234,440,914.50
  6. Step 6: Final answer
    x = 506,629,487.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.