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Finding the Third Proportional to 140,309,312,184 and 327,399,709,212

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Solution

The third proportional to 140,309,312,184 and 327,399,709,212 is: 763,959,055,344.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,309,312,184 : 327,399,709,212 = 327,399,709,212 : x
  2. Step 2: Convert to fraction form
    140,309,312,184/327,399,709,212 = 327,399,709,212/x
  3. Step 3: Cross multiply
    140,309,312,184x = 327,399,709,212 × 327,399,709,212
  4. Step 4: Simplify right side
    140,309,312,184x = 107,190,569,592,102,156,500,992
  5. Step 5: Solve for x
    x = 107,190,569,592,102,156,500,992/140,309,312,184
  6. Step 6: Final answer
    x = 763,959,055,344.34

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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.