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Finding the Third Proportional to 12,307 and 26,405

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Solution

The third proportional to 12,307 and 26,405 is: 56,652.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307 : 26,405 = 26,405 : x
  2. Step 2: Convert to fraction form
    12,307/26,405 = 26,405/x
  3. Step 3: Cross multiply
    12,307x = 26,405 × 26,405
  4. Step 4: Simplify right side
    12,307x = 697,224,025
  5. Step 5: Solve for x
    x = 697,224,025/12,307
  6. Step 6: Final answer
    x = 56,652.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.