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Finding the Third Proportional to 815,021,362.13 and 1,270,959,553.69

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Solution

The third proportional to 815,021,362.13 and 1,270,959,553.69 is: 1,981,958,096.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,021,362.13 : 1,270,959,553.69 = 1,270,959,553.69 : x
  2. Step 2: Convert to fraction form
    815,021,362.13/1,270,959,553.69 = 1,270,959,553.69/x
  3. Step 3: Cross multiply
    815,021,362.13x = 1,270,959,553.69 × 1,270,959,553.69
  4. Step 4: Simplify right side
    815,021,362.13x = 1,615,338,187,109,529,088
  5. Step 5: Solve for x
    x = 1,615,338,187,109,529,088/815,021,362.13
  6. Step 6: Final answer
    x = 1,981,958,096.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.