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Finding the Third Proportional to 642,719,559.75 and 905,090,769.75

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Solution

The third proportional to 642,719,559.75 and 905,090,769.75 is: 1,274,567,249.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,719,559.75 : 905,090,769.75 = 905,090,769.75 : x
  2. Step 2: Convert to fraction form
    642,719,559.75/905,090,769.75 = 905,090,769.75/x
  3. Step 3: Cross multiply
    642,719,559.75x = 905,090,769.75 × 905,090,769.75
  4. Step 4: Simplify right side
    642,719,559.75x = 819,189,301,486,647,552
  5. Step 5: Solve for x
    x = 819,189,301,486,647,552/642,719,559.75
  6. Step 6: Final answer
    x = 1,274,567,249.53

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.