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Finding the Third Proportional to 21,962.50 and 53,080

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Solution

The third proportional to 21,962.50 and 53,080 is: 128,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.50 : 53,080 = 53,080 : x
  2. Step 2: Convert to fraction form
    21,962.50/53,080 = 53,080/x
  3. Step 3: Cross multiply
    21,962.50x = 53,080 × 53,080
  4. Step 4: Simplify right side
    21,962.50x = 2,817,486,400
  5. Step 5: Solve for x
    x = 2,817,486,400/21,962.50
  6. Step 6: Final answer
    x = 128,286.23

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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.