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Finding the Third Proportional to 12,705 and 26,278

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Solution

The third proportional to 12,705 and 26,278 is: 54,351.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,705 : 26,278 = 26,278 : x
  2. Step 2: Convert to fraction form
    12,705/26,278 = 26,278/x
  3. Step 3: Cross multiply
    12,705x = 26,278 × 26,278
  4. Step 4: Simplify right side
    12,705x = 690,533,284
  5. Step 5: Solve for x
    x = 690,533,284/12,705
  6. Step 6: Final answer
    x = 54,351.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.