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Finding the Third Proportional to 8,455.40 and 13,143.36

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Solution

The third proportional to 8,455.40 and 13,143.36 is: 20,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,455.40 : 13,143.36 = 13,143.36 : x
  2. Step 2: Convert to fraction form
    8,455.40/13,143.36 = 13,143.36/x
  3. Step 3: Cross multiply
    8,455.40x = 13,143.36 × 13,143.36
  4. Step 4: Simplify right side
    8,455.40x = 172,747,844.32
  5. Step 5: Solve for x
    x = 172,747,844.32/8,455.40
  6. Step 6: Final answer
    x = 20,430.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.