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Finding the Third Proportional to 21,214.50 and 45,921

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Solution

The third proportional to 21,214.50 and 45,921 is: 99,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,214.50 : 45,921 = 45,921 : x
  2. Step 2: Convert to fraction form
    21,214.50/45,921 = 45,921/x
  3. Step 3: Cross multiply
    21,214.50x = 45,921 × 45,921
  4. Step 4: Simplify right side
    21,214.50x = 2,108,738,241
  5. Step 5: Solve for x
    x = 2,108,738,241/21,214.50
  6. Step 6: Final answer
    x = 99,400.80

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.