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Finding the Third Proportional to 413,813,568 and 689,660,424

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Solution

The third proportional to 413,813,568 and 689,660,424 is: 1,149,385,948.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,813,568 : 689,660,424 = 689,660,424 : x
  2. Step 2: Convert to fraction form
    413,813,568/689,660,424 = 689,660,424/x
  3. Step 3: Cross multiply
    413,813,568x = 689,660,424 × 689,660,424
  4. Step 4: Simplify right side
    413,813,568x = 475,631,500,431,859,776
  5. Step 5: Solve for x
    x = 475,631,500,431,859,776/413,813,568
  6. Step 6: Final answer
    x = 1,149,385,948.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.