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Finding the Third Proportional to 84,787,870 and 183,661,488

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Solution

The third proportional to 84,787,870 and 183,661,488 is: 397,834,527.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,787,870 : 183,661,488 = 183,661,488 : x
  2. Step 2: Convert to fraction form
    84,787,870/183,661,488 = 183,661,488/x
  3. Step 3: Cross multiply
    84,787,870x = 183,661,488 × 183,661,488
  4. Step 4: Simplify right side
    84,787,870x = 33,731,542,174,374,144
  5. Step 5: Solve for x
    x = 33,731,542,174,374,144/84,787,870
  6. Step 6: Final answer
    x = 397,834,527.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.