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Finding the Third Proportional to 905.34 and 1,970.16

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Solution

The third proportional to 905.34 and 1,970.16 is: 4,287.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.34 : 1,970.16 = 1,970.16 : x
  2. Step 2: Convert to fraction form
    905.34/1,970.16 = 1,970.16/x
  3. Step 3: Cross multiply
    905.34x = 1,970.16 × 1,970.16
  4. Step 4: Simplify right side
    905.34x = 3,881,515.65
  5. Step 5: Solve for x
    x = 3,881,515.65/905.34
  6. Step 6: Final answer
    x = 4,287.34

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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.