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Finding the Third Proportional to 1,638,470.50 and 2,543,971

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Solution

The third proportional to 1,638,470.50 and 2,543,971 is: 3,949,896.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638,470.50 : 2,543,971 = 2,543,971 : x
  2. Step 2: Convert to fraction form
    1,638,470.50/2,543,971 = 2,543,971/x
  3. Step 3: Cross multiply
    1,638,470.50x = 2,543,971 × 2,543,971
  4. Step 4: Simplify right side
    1,638,470.50x = 6,471,788,448,841
  5. Step 5: Solve for x
    x = 6,471,788,448,841/1,638,470.50
  6. Step 6: Final answer
    x = 3,949,896.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.