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Finding the Third Proportional to 12,410 and 26,862

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Solution

The third proportional to 12,410 and 26,862 is: 58,144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410 : 26,862 = 26,862 : x
  2. Step 2: Convert to fraction form
    12,410/26,862 = 26,862/x
  3. Step 3: Cross multiply
    12,410x = 26,862 × 26,862
  4. Step 4: Simplify right side
    12,410x = 721,567,044
  5. Step 5: Solve for x
    x = 721,567,044/12,410
  6. Step 6: Final answer
    x = 58,144.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.