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Finding the Third Proportional to 9,985 and 21,733

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Solution

The third proportional to 9,985 and 21,733 is: 47,303.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985 : 21,733 = 21,733 : x
  2. Step 2: Convert to fraction form
    9,985/21,733 = 21,733/x
  3. Step 3: Cross multiply
    9,985x = 21,733 × 21,733
  4. Step 4: Simplify right side
    9,985x = 472,323,289
  5. Step 5: Solve for x
    x = 472,323,289/9,985
  6. Step 6: Final answer
    x = 47,303.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.