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Finding the Third Proportional to 11,907 and 15,916.50

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Solution

The third proportional to 11,907 and 15,916.50 is: 21,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 15,916.50 = 15,916.50 : x
  2. Step 2: Convert to fraction form
    11,907/15,916.50 = 15,916.50/x
  3. Step 3: Cross multiply
    11,907x = 15,916.50 × 15,916.50
  4. Step 4: Simplify right side
    11,907x = 253,334,972.25
  5. Step 5: Solve for x
    x = 253,334,972.25/11,907
  6. Step 6: Final answer
    x = 21,276.14

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.