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Finding the Third Proportional to 821,949.75 and 1,289,721.38

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Solution

The third proportional to 821,949.75 and 1,289,721.38 is: 2,023,701.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,949.75 : 1,289,721.38 = 1,289,721.38 : x
  2. Step 2: Convert to fraction form
    821,949.75/1,289,721.38 = 1,289,721.38/x
  3. Step 3: Cross multiply
    821,949.75x = 1,289,721.38 × 1,289,721.38
  4. Step 4: Simplify right side
    821,949.75x = 1,663,381,225,131.89
  5. Step 5: Solve for x
    x = 1,663,381,225,131.89/821,949.75
  6. Step 6: Final answer
    x = 2,023,701.84

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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.