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Finding the Third Proportional to 2,533,278 and 3,787,263

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Solution

The third proportional to 2,533,278 and 3,787,263 is: 5,661,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,533,278 : 3,787,263 = 3,787,263 : x
  2. Step 2: Convert to fraction form
    2,533,278/3,787,263 = 3,787,263/x
  3. Step 3: Cross multiply
    2,533,278x = 3,787,263 × 3,787,263
  4. Step 4: Simplify right side
    2,533,278x = 14,343,361,031,169
  5. Step 5: Solve for x
    x = 14,343,361,031,169/2,533,278
  6. Step 6: Final answer
    x = 5,661,976.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.