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Finding the Third Proportional to 21,007 and 43,688

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Solution

The third proportional to 21,007 and 43,688 is: 90,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007 : 43,688 = 43,688 : x
  2. Step 2: Convert to fraction form
    21,007/43,688 = 43,688/x
  3. Step 3: Cross multiply
    21,007x = 43,688 × 43,688
  4. Step 4: Simplify right side
    21,007x = 1,908,641,344
  5. Step 5: Solve for x
    x = 1,908,641,344/21,007
  6. Step 6: Final answer
    x = 90,857.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.