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Finding the Third Proportional to 2,989,761.75 and 4,638,279.38

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Solution

The third proportional to 2,989,761.75 and 4,638,279.38 is: 7,195,769.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,989,761.75 : 4,638,279.38 = 4,638,279.38 : x
  2. Step 2: Convert to fraction form
    2,989,761.75/4,638,279.38 = 4,638,279.38/x
  3. Step 3: Cross multiply
    2,989,761.75x = 4,638,279.38 × 4,638,279.38
  4. Step 4: Simplify right side
    2,989,761.75x = 21,513,635,560,550.39
  5. Step 5: Solve for x
    x = 21,513,635,560,550.39/2,989,761.75
  6. Step 6: Final answer
    x = 7,195,769.21

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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.