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Finding the Third Proportional to 19,985 and 21,905

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Solution

The third proportional to 19,985 and 21,905 is: 24,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,985 : 21,905 = 21,905 : x
  2. Step 2: Convert to fraction form
    19,985/21,905 = 21,905/x
  3. Step 3: Cross multiply
    19,985x = 21,905 × 21,905
  4. Step 4: Simplify right side
    19,985x = 479,829,025
  5. Step 5: Solve for x
    x = 479,829,025/19,985
  6. Step 6: Final answer
    x = 24,009.46

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.