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Finding the Third Proportional to 9,776 and 20,232

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Solution

The third proportional to 9,776 and 20,232 is: 41,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776 : 20,232 = 20,232 : x
  2. Step 2: Convert to fraction form
    9,776/20,232 = 20,232/x
  3. Step 3: Cross multiply
    9,776x = 20,232 × 20,232
  4. Step 4: Simplify right side
    9,776x = 409,333,824
  5. Step 5: Solve for x
    x = 409,333,824/9,776
  6. Step 6: Final answer
    x = 41,871.30

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.