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Finding the Third Proportional to 2,083,461 and 3,130,738.50

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Solution

The third proportional to 2,083,461 and 3,130,738.50 is: 4,704,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,461 : 3,130,738.50 = 3,130,738.50 : x
  2. Step 2: Convert to fraction form
    2,083,461/3,130,738.50 = 3,130,738.50/x
  3. Step 3: Cross multiply
    2,083,461x = 3,130,738.50 × 3,130,738.50
  4. Step 4: Simplify right side
    2,083,461x = 9,801,523,555,382.25
  5. Step 5: Solve for x
    x = 9,801,523,555,382.25/2,083,461
  6. Step 6: Final answer
    x = 4,704,443.02

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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.