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Finding the Third Proportional to 12,921 and 26,389.50

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Solution

The third proportional to 12,921 and 26,389.50 is: 53,897.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921 : 26,389.50 = 26,389.50 : x
  2. Step 2: Convert to fraction form
    12,921/26,389.50 = 26,389.50/x
  3. Step 3: Cross multiply
    12,921x = 26,389.50 × 26,389.50
  4. Step 4: Simplify right side
    12,921x = 696,405,710.25
  5. Step 5: Solve for x
    x = 696,405,710.25/12,921
  6. Step 6: Final answer
    x = 53,897.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.