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Finding the Third Proportional to 13,304.25 and 30,795.19

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Solution

The third proportional to 13,304.25 and 30,795.19 is: 71,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,304.25 : 30,795.19 = 30,795.19 : x
  2. Step 2: Convert to fraction form
    13,304.25/30,795.19 = 30,795.19/x
  3. Step 3: Cross multiply
    13,304.25x = 30,795.19 × 30,795.19
  4. Step 4: Simplify right side
    13,304.25x = 948,343,573.16
  5. Step 5: Solve for x
    x = 948,343,573.16/13,304.25
  6. Step 6: Final answer
    x = 71,281.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.