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Finding the Third Proportional to 13,370.06 and 20,642.34

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Solution

The third proportional to 13,370.06 and 20,642.34 is: 31,870.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,370.06 : 20,642.34 = 20,642.34 : x
  2. Step 2: Convert to fraction form
    13,370.06/20,642.34 = 20,642.34/x
  3. Step 3: Cross multiply
    13,370.06x = 20,642.34 × 20,642.34
  4. Step 4: Simplify right side
    13,370.06x = 426,106,355.49
  5. Step 5: Solve for x
    x = 426,106,355.49/13,370.06
  6. Step 6: Final answer
    x = 31,870.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.