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Finding the Third Proportional to 215,216,338 and 301,991,136

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Solution

The third proportional to 215,216,338 and 301,991,136 is: 423,753,359.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,216,338 : 301,991,136 = 301,991,136 : x
  2. Step 2: Convert to fraction form
    215,216,338/301,991,136 = 301,991,136/x
  3. Step 3: Cross multiply
    215,216,338x = 301,991,136 × 301,991,136
  4. Step 4: Simplify right side
    215,216,338x = 91,198,646,222,570,496
  5. Step 5: Solve for x
    x = 91,198,646,222,570,496/215,216,338
  6. Step 6: Final answer
    x = 423,753,359.39

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.