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Finding the Third Proportional to 8,420.63 and 12,839.06

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Solution

The third proportional to 8,420.63 and 12,839.06 is: 19,575.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.63 : 12,839.06 = 12,839.06 : x
  2. Step 2: Convert to fraction form
    8,420.63/12,839.06 = 12,839.06/x
  3. Step 3: Cross multiply
    8,420.63x = 12,839.06 × 12,839.06
  4. Step 4: Simplify right side
    8,420.63x = 164,841,525.88
  5. Step 5: Solve for x
    x = 164,841,525.88/8,420.63
  6. Step 6: Final answer
    x = 19,575.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.