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Finding the Third Proportional to 9,946.50 and 20,913

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Solution

The third proportional to 9,946.50 and 20,913 is: 43,970.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,946.50 : 20,913 = 20,913 : x
  2. Step 2: Convert to fraction form
    9,946.50/20,913 = 20,913/x
  3. Step 3: Cross multiply
    9,946.50x = 20,913 × 20,913
  4. Step 4: Simplify right side
    9,946.50x = 437,353,569
  5. Step 5: Solve for x
    x = 437,353,569/9,946.50
  6. Step 6: Final answer
    x = 43,970.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.