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Finding the Third Proportional to 21,429 and 31,305.75

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Solution

The third proportional to 21,429 and 31,305.75 is: 45,734.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,429 : 31,305.75 = 31,305.75 : x
  2. Step 2: Convert to fraction form
    21,429/31,305.75 = 31,305.75/x
  3. Step 3: Cross multiply
    21,429x = 31,305.75 × 31,305.75
  4. Step 4: Simplify right side
    21,429x = 980,049,983.06
  5. Step 5: Solve for x
    x = 980,049,983.06/21,429
  6. Step 6: Final answer
    x = 45,734.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.