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Finding the Third Proportional to 7,664 and 12,203

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Solution

The third proportional to 7,664 and 12,203 is: 19,430.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664 : 12,203 = 12,203 : x
  2. Step 2: Convert to fraction form
    7,664/12,203 = 12,203/x
  3. Step 3: Cross multiply
    7,664x = 12,203 × 12,203
  4. Step 4: Simplify right side
    7,664x = 148,913,209
  5. Step 5: Solve for x
    x = 148,913,209/7,664
  6. Step 6: Final answer
    x = 19,430.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.