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Finding the Third Proportional to 215,618,424 and 469,015,405

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Solution

The third proportional to 215,618,424 and 469,015,405 is: 1,020,207,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,618,424 : 469,015,405 = 469,015,405 : x
  2. Step 2: Convert to fraction form
    215,618,424/469,015,405 = 469,015,405/x
  3. Step 3: Cross multiply
    215,618,424x = 469,015,405 × 469,015,405
  4. Step 4: Simplify right side
    215,618,424x = 219,975,450,127,314,016
  5. Step 5: Solve for x
    x = 219,975,450,127,314,016/215,618,424
  6. Step 6: Final answer
    x = 1,020,207,114.25

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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.