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Finding the Third Proportional to 10,207 and 14,447

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Solution

The third proportional to 10,207 and 14,447 is: 20,448.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207 : 14,447 = 14,447 : x
  2. Step 2: Convert to fraction form
    10,207/14,447 = 14,447/x
  3. Step 3: Cross multiply
    10,207x = 14,447 × 14,447
  4. Step 4: Simplify right side
    10,207x = 208,715,809
  5. Step 5: Solve for x
    x = 208,715,809/10,207
  6. Step 6: Final answer
    x = 20,448.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.