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Finding the Third Proportional to 391,047,400.69 and 548,051,928.19

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Solution

The third proportional to 391,047,400.69 and 548,051,928.19 is: 768,093,370.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,047,400.69 : 548,051,928.19 = 548,051,928.19 : x
  2. Step 2: Convert to fraction form
    391,047,400.69/548,051,928.19 = 548,051,928.19/x
  3. Step 3: Cross multiply
    391,047,400.69x = 548,051,928.19 × 548,051,928.19
  4. Step 4: Simplify right side
    391,047,400.69x = 300,360,915,990,036,672
  5. Step 5: Solve for x
    x = 300,360,915,990,036,672/391,047,400.69
  6. Step 6: Final answer
    x = 768,093,370.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.