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Finding the Third Proportional to 140,309,312,190 and 327,399,709,227

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Solution

The third proportional to 140,309,312,190 and 327,399,709,227 is: 763,959,055,381.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,309,312,190 : 327,399,709,227 = 327,399,709,227 : x
  2. Step 2: Convert to fraction form
    140,309,312,190/327,399,709,227 = 327,399,709,227/x
  3. Step 3: Cross multiply
    140,309,312,190x = 327,399,709,227 × 327,399,709,227
  4. Step 4: Simplify right side
    140,309,312,190x = 107,190,569,601,924,142,727,168
  5. Step 5: Solve for x
    x = 107,190,569,601,924,142,727,168/140,309,312,190
  6. Step 6: Final answer
    x = 763,959,055,381.67

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.