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Finding the Third Proportional to 12,420 and 26,296.31

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Solution

The third proportional to 12,420 and 26,296.31 is: 55,676.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420 : 26,296.31 = 26,296.31 : x
  2. Step 2: Convert to fraction form
    12,420/26,296.31 = 26,296.31/x
  3. Step 3: Cross multiply
    12,420x = 26,296.31 × 26,296.31
  4. Step 4: Simplify right side
    12,420x = 691,496,051.10
  5. Step 5: Solve for x
    x = 691,496,051.10/12,420
  6. Step 6: Final answer
    x = 55,676.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.