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Finding the Third Proportional to 170,639,826.50 and 257,753,039.50

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Solution

The third proportional to 170,639,826.50 and 257,753,039.50 is: 389,338,355.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,639,826.50 : 257,753,039.50 = 257,753,039.50 : x
  2. Step 2: Convert to fraction form
    170,639,826.50/257,753,039.50 = 257,753,039.50/x
  3. Step 3: Cross multiply
    170,639,826.50x = 257,753,039.50 × 257,753,039.50
  4. Step 4: Simplify right side
    170,639,826.50x = 66,436,629,371,488,560
  5. Step 5: Solve for x
    x = 66,436,629,371,488,560/170,639,826.50
  6. Step 6: Final answer
    x = 389,338,355.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.