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Finding the Third Proportional to 14,445 and 21,447

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Solution

The third proportional to 14,445 and 21,447 is: 31,843.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,445 : 21,447 = 21,447 : x
  2. Step 2: Convert to fraction form
    14,445/21,447 = 21,447/x
  3. Step 3: Cross multiply
    14,445x = 21,447 × 21,447
  4. Step 4: Simplify right side
    14,445x = 459,973,809
  5. Step 5: Solve for x
    x = 459,973,809/14,445
  6. Step 6: Final answer
    x = 31,843.12

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.