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Finding the Third Proportional to 299,294,356 and 643,145,192

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Solution

The third proportional to 299,294,356 and 643,145,192 is: 1,382,036,545.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,294,356 : 643,145,192 = 643,145,192 : x
  2. Step 2: Convert to fraction form
    299,294,356/643,145,192 = 643,145,192/x
  3. Step 3: Cross multiply
    299,294,356x = 643,145,192 × 643,145,192
  4. Step 4: Simplify right side
    299,294,356x = 413,635,737,992,716,864
  5. Step 5: Solve for x
    x = 413,635,737,992,716,864/299,294,356
  6. Step 6: Final answer
    x = 1,382,036,545.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.