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Finding the Third Proportional to 139,788,682 and 218,809,373

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Solution

The third proportional to 139,788,682 and 218,809,373 is: 342,499,414.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,788,682 : 218,809,373 = 218,809,373 : x
  2. Step 2: Convert to fraction form
    139,788,682/218,809,373 = 218,809,373/x
  3. Step 3: Cross multiply
    139,788,682x = 218,809,373 × 218,809,373
  4. Step 4: Simplify right side
    139,788,682x = 47,877,541,712,653,128
  5. Step 5: Solve for x
    x = 47,877,541,712,653,128/139,788,682
  6. Step 6: Final answer
    x = 342,499,414.31

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.