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Finding the Third Proportional to 21,353 and 45,865

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Solution

The third proportional to 21,353 and 45,865 is: 98,515.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,353 : 45,865 = 45,865 : x
  2. Step 2: Convert to fraction form
    21,353/45,865 = 45,865/x
  3. Step 3: Cross multiply
    21,353x = 45,865 × 45,865
  4. Step 4: Simplify right side
    21,353x = 2,103,598,225
  5. Step 5: Solve for x
    x = 2,103,598,225/21,353
  6. Step 6: Final answer
    x = 98,515.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.