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Finding the Third Proportional to 21,400 and 31,232

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Solution

The third proportional to 21,400 and 31,232 is: 45,581.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,400 : 31,232 = 31,232 : x
  2. Step 2: Convert to fraction form
    21,400/31,232 = 31,232/x
  3. Step 3: Cross multiply
    21,400x = 31,232 × 31,232
  4. Step 4: Simplify right side
    21,400x = 975,437,824
  5. Step 5: Solve for x
    x = 975,437,824/21,400
  6. Step 6: Final answer
    x = 45,581.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.