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Finding the Third Proportional to 9,700 and 20,946

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Solution

The third proportional to 9,700 and 20,946 is: 45,230.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700 : 20,946 = 20,946 : x
  2. Step 2: Convert to fraction form
    9,700/20,946 = 20,946/x
  3. Step 3: Cross multiply
    9,700x = 20,946 × 20,946
  4. Step 4: Simplify right side
    9,700x = 438,734,916
  5. Step 5: Solve for x
    x = 438,734,916/9,700
  6. Step 6: Final answer
    x = 45,230.40

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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.