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Finding the Third Proportional to 12,276 and 26,280

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Solution

The third proportional to 12,276 and 26,280 is: 56,259.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276 : 26,280 = 26,280 : x
  2. Step 2: Convert to fraction form
    12,276/26,280 = 26,280/x
  3. Step 3: Cross multiply
    12,276x = 26,280 × 26,280
  4. Step 4: Simplify right side
    12,276x = 690,638,400
  5. Step 5: Solve for x
    x = 690,638,400/12,276
  6. Step 6: Final answer
    x = 56,259.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.