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Finding the Third Proportional to 215,891,390.81 and 315,740,295.84

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Solution

The third proportional to 215,891,390.81 and 315,740,295.84 is: 461,768,920.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,891,390.81 : 315,740,295.84 = 315,740,295.84 : x
  2. Step 2: Convert to fraction form
    215,891,390.81/315,740,295.84 = 315,740,295.84/x
  3. Step 3: Cross multiply
    215,891,390.81x = 315,740,295.84 × 315,740,295.84
  4. Step 4: Simplify right side
    215,891,390.81x = 99,691,934,419,505,104
  5. Step 5: Solve for x
    x = 99,691,934,419,505,104/215,891,390.81
  6. Step 6: Final answer
    x = 461,768,920.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.