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Finding the Third Proportional to 7,032 and 12,640

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Solution

The third proportional to 7,032 and 12,640 is: 22,720.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032 : 12,640 = 12,640 : x
  2. Step 2: Convert to fraction form
    7,032/12,640 = 12,640/x
  3. Step 3: Cross multiply
    7,032x = 12,640 × 12,640
  4. Step 4: Simplify right side
    7,032x = 159,769,600
  5. Step 5: Solve for x
    x = 159,769,600/7,032
  6. Step 6: Final answer
    x = 22,720.36

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.