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Finding the Third Proportional to 808,618,129 and 1,242,136,372

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Solution

The third proportional to 808,618,129 and 1,242,136,372 is: 1,908,073,429.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,618,129 : 1,242,136,372 = 1,242,136,372 : x
  2. Step 2: Convert to fraction form
    808,618,129/1,242,136,372 = 1,242,136,372/x
  3. Step 3: Cross multiply
    808,618,129x = 1,242,136,372 × 1,242,136,372
  4. Step 4: Simplify right side
    808,618,129x = 1,542,902,766,645,322,496
  5. Step 5: Solve for x
    x = 1,542,902,766,645,322,496/808,618,129
  6. Step 6: Final answer
    x = 1,908,073,429.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.