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Finding the Third Proportional to 13,302.35 and 20,051.30

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Solution

The third proportional to 13,302.35 and 20,051.30 is: 30,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,302.35 : 20,051.30 = 20,051.30 : x
  2. Step 2: Convert to fraction form
    13,302.35/20,051.30 = 20,051.30/x
  3. Step 3: Cross multiply
    13,302.35x = 20,051.30 × 20,051.30
  4. Step 4: Simplify right side
    13,302.35x = 402,054,506.37
  5. Step 5: Solve for x
    x = 402,054,506.37/13,302.35
  6. Step 6: Final answer
    x = 30,224.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.