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Finding the Third Proportional to 12,410 and 26,044

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Solution

The third proportional to 12,410 and 26,044 is: 54,656.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410 : 26,044 = 26,044 : x
  2. Step 2: Convert to fraction form
    12,410/26,044 = 26,044/x
  3. Step 3: Cross multiply
    12,410x = 26,044 × 26,044
  4. Step 4: Simplify right side
    12,410x = 678,289,936
  5. Step 5: Solve for x
    x = 678,289,936/12,410
  6. Step 6: Final answer
    x = 54,656.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.