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Finding the Third Proportional to 21,963 and 53,085

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Solution

The third proportional to 21,963 and 53,085 is: 128,307.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,963 : 53,085 = 53,085 : x
  2. Step 2: Convert to fraction form
    21,963/53,085 = 53,085/x
  3. Step 3: Cross multiply
    21,963x = 53,085 × 53,085
  4. Step 4: Simplify right side
    21,963x = 2,818,017,225
  5. Step 5: Solve for x
    x = 2,818,017,225/21,963
  6. Step 6: Final answer
    x = 128,307.48

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.