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Finding the Third Proportional to 8,640 and 20,232

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Solution

The third proportional to 8,640 and 20,232 is: 47,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,640 : 20,232 = 20,232 : x
  2. Step 2: Convert to fraction form
    8,640/20,232 = 20,232/x
  3. Step 3: Cross multiply
    8,640x = 20,232 × 20,232
  4. Step 4: Simplify right side
    8,640x = 409,333,824
  5. Step 5: Solve for x
    x = 409,333,824/8,640
  6. Step 6: Final answer
    x = 47,376.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.