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Finding the Third Proportional to 12,902.63 and 20,153.81

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Solution

The third proportional to 12,902.63 and 20,153.81 is: 31,480.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,902.63 : 20,153.81 = 20,153.81 : x
  2. Step 2: Convert to fraction form
    12,902.63/20,153.81 = 20,153.81/x
  3. Step 3: Cross multiply
    12,902.63x = 20,153.81 × 20,153.81
  4. Step 4: Simplify right side
    12,902.63x = 406,176,158.29
  5. Step 5: Solve for x
    x = 406,176,158.29/12,902.63
  6. Step 6: Final answer
    x = 31,480.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.