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Finding the Third Proportional to 902.39 and 1,970.16

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Solution

The third proportional to 902.39 and 1,970.16 is: 4,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.39 : 1,970.16 = 1,970.16 : x
  2. Step 2: Convert to fraction form
    902.39/1,970.16 = 1,970.16/x
  3. Step 3: Cross multiply
    902.39x = 1,970.16 × 1,970.16
  4. Step 4: Simplify right side
    902.39x = 3,881,515.65
  5. Step 5: Solve for x
    x = 3,881,515.65/902.39
  6. Step 6: Final answer
    x = 4,301.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.