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Finding the Third Proportional to 14,785 and 21,745

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Solution

The third proportional to 14,785 and 21,745 is: 31,981.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,785 : 21,745 = 21,745 : x
  2. Step 2: Convert to fraction form
    14,785/21,745 = 21,745/x
  3. Step 3: Cross multiply
    14,785x = 21,745 × 21,745
  4. Step 4: Simplify right side
    14,785x = 472,845,025
  5. Step 5: Solve for x
    x = 472,845,025/14,785
  6. Step 6: Final answer
    x = 31,981.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.