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Finding the Third Proportional to 8,421.75 and 12,983.63

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Solution

The third proportional to 8,421.75 and 12,983.63 is: 20,016.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,421.75 : 12,983.63 = 12,983.63 : x
  2. Step 2: Convert to fraction form
    8,421.75/12,983.63 = 12,983.63/x
  3. Step 3: Cross multiply
    8,421.75x = 12,983.63 × 12,983.63
  4. Step 4: Simplify right side
    8,421.75x = 168,574,518.14
  5. Step 5: Solve for x
    x = 168,574,518.14/8,421.75
  6. Step 6: Final answer
    x = 20,016.57

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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.