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Finding the Third Proportional to 215,618,366 and 469,015,298

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Solution

The third proportional to 215,618,366 and 469,015,298 is: 1,020,206,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,618,366 : 469,015,298 = 469,015,298 : x
  2. Step 2: Convert to fraction form
    215,618,366/469,015,298 = 469,015,298/x
  3. Step 3: Cross multiply
    215,618,366x = 469,015,298 × 469,015,298
  4. Step 4: Simplify right side
    215,618,366x = 219,975,349,758,028,800
  5. Step 5: Solve for x
    x = 219,975,349,758,028,800/215,618,366
  6. Step 6: Final answer
    x = 1,020,206,923.18

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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.