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Finding the Third Proportional to 21,999 and 36,280

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Solution

The third proportional to 21,999 and 36,280 is: 59,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,999 : 36,280 = 36,280 : x
  2. Step 2: Convert to fraction form
    21,999/36,280 = 36,280/x
  3. Step 3: Cross multiply
    21,999x = 36,280 × 36,280
  4. Step 4: Simplify right side
    21,999x = 1,316,238,400
  5. Step 5: Solve for x
    x = 1,316,238,400/21,999
  6. Step 6: Final answer
    x = 59,831.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.