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Finding the Third Proportional to 215,618,420.25 and 469,015,396.88

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Solution

The third proportional to 215,618,420.25 and 469,015,396.88 is: 1,020,207,096.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,618,420.25 : 469,015,396.88 = 469,015,396.88 : x
  2. Step 2: Convert to fraction form
    215,618,420.25/469,015,396.88 = 469,015,396.88/x
  3. Step 3: Cross multiply
    215,618,420.25x = 469,015,396.88 × 469,015,396.88
  4. Step 4: Simplify right side
    215,618,420.25x = 219,975,442,505,813,760
  5. Step 5: Solve for x
    x = 219,975,442,505,813,760/215,618,420.25
  6. Step 6: Final answer
    x = 1,020,207,096.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.