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Finding the Third Proportional to 140,309,312,292 and 327,399,709,482

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Solution

The third proportional to 140,309,312,292 and 327,399,709,482 is: 763,959,056,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,309,312,292 : 327,399,709,482 = 327,399,709,482 : x
  2. Step 2: Convert to fraction form
    140,309,312,292/327,399,709,482 = 327,399,709,482/x
  3. Step 3: Cross multiply
    140,309,312,292x = 327,399,709,482 × 327,399,709,482
  4. Step 4: Simplify right side
    140,309,312,292x = 107,190,569,768,897,992,458,240
  5. Step 5: Solve for x
    x = 107,190,569,768,897,992,458,240/140,309,312,292
  6. Step 6: Final answer
    x = 763,959,056,016.34

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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.