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Finding the Third Proportional to 12,985.50 and 20,343

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Solution

The third proportional to 12,985.50 and 20,343 is: 31,869.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.50 : 20,343 = 20,343 : x
  2. Step 2: Convert to fraction form
    12,985.50/20,343 = 20,343/x
  3. Step 3: Cross multiply
    12,985.50x = 20,343 × 20,343
  4. Step 4: Simplify right side
    12,985.50x = 413,837,649
  5. Step 5: Solve for x
    x = 413,837,649/12,985.50
  6. Step 6: Final answer
    x = 31,869.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.