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Finding the Third Proportional to 643,290.75 and 1,398,631.50

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Solution

The third proportional to 643,290.75 and 1,398,631.50 is: 3,040,880.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,290.75 : 1,398,631.50 = 1,398,631.50 : x
  2. Step 2: Convert to fraction form
    643,290.75/1,398,631.50 = 1,398,631.50/x
  3. Step 3: Cross multiply
    643,290.75x = 1,398,631.50 × 1,398,631.50
  4. Step 4: Simplify right side
    643,290.75x = 1,956,170,072,792.25
  5. Step 5: Solve for x
    x = 1,956,170,072,792.25/643,290.75
  6. Step 6: Final answer
    x = 3,040,880.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.