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Finding the Third Proportional to 21,465 and 33,507

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Solution

The third proportional to 21,465 and 33,507 is: 52,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,465 : 33,507 = 33,507 : x
  2. Step 2: Convert to fraction form
    21,465/33,507 = 33,507/x
  3. Step 3: Cross multiply
    21,465x = 33,507 × 33,507
  4. Step 4: Simplify right side
    21,465x = 1,122,719,049
  5. Step 5: Solve for x
    x = 1,122,719,049/21,465
  6. Step 6: Final answer
    x = 52,304.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.