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Finding the Third Proportional to 1,285,113.09 and 1,913,636.39

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Solution

The third proportional to 1,285,113.09 and 1,913,636.39 is: 2,849,557.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285,113.09 : 1,913,636.39 = 1,913,636.39 : x
  2. Step 2: Convert to fraction form
    1,285,113.09/1,913,636.39 = 1,913,636.39/x
  3. Step 3: Cross multiply
    1,285,113.09x = 1,913,636.39 × 1,913,636.39
  4. Step 4: Simplify right side
    1,285,113.09x = 3,662,004,235,524.28
  5. Step 5: Solve for x
    x = 3,662,004,235,524.28/1,285,113.09
  6. Step 6: Final answer
    x = 2,849,557.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.