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Finding the Third Proportional to 390,580,984.13 and 835,522,769.25

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Solution

The third proportional to 390,580,984.13 and 835,522,769.25 is: 1,787,333,040.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,580,984.13 : 835,522,769.25 = 835,522,769.25 : x
  2. Step 2: Convert to fraction form
    390,580,984.13/835,522,769.25 = 835,522,769.25/x
  3. Step 3: Cross multiply
    390,580,984.13x = 835,522,769.25 × 835,522,769.25
  4. Step 4: Simplify right side
    390,580,984.13x = 698,098,297,935,188,736
  5. Step 5: Solve for x
    x = 698,098,297,935,188,736/390,580,984.13
  6. Step 6: Final answer
    x = 1,787,333,040.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.