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Finding the Third Proportional to 200,502,859 and 319,039,388

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Solution

The third proportional to 200,502,859 and 319,039,388 is: 507,654,262.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,502,859 : 319,039,388 = 319,039,388 : x
  2. Step 2: Convert to fraction form
    200,502,859/319,039,388 = 319,039,388/x
  3. Step 3: Cross multiply
    200,502,859x = 319,039,388 × 319,039,388
  4. Step 4: Simplify right side
    200,502,859x = 101,786,131,095,414,544
  5. Step 5: Solve for x
    x = 101,786,131,095,414,544/200,502,859
  6. Step 6: Final answer
    x = 507,654,262.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.