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Finding the Third Proportional to 215,618,359.88 and 469,015,286.25

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Solution

The third proportional to 215,618,359.88 and 469,015,286.25 is: 1,020,206,901.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,618,359.88 : 469,015,286.25 = 469,015,286.25 : x
  2. Step 2: Convert to fraction form
    215,618,359.88/469,015,286.25 = 469,015,286.25/x
  3. Step 3: Cross multiply
    215,618,359.88x = 469,015,286.25 × 469,015,286.25
  4. Step 4: Simplify right side
    215,618,359.88x = 219,975,338,736,169,440
  5. Step 5: Solve for x
    x = 219,975,338,736,169,440/215,618,359.88
  6. Step 6: Final answer
    x = 1,020,206,901.04

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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.