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Finding the Third Proportional to 21,088 and 31,621

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Solution

The third proportional to 21,088 and 31,621 is: 47,415.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,088 : 31,621 = 31,621 : x
  2. Step 2: Convert to fraction form
    21,088/31,621 = 31,621/x
  3. Step 3: Cross multiply
    21,088x = 31,621 × 31,621
  4. Step 4: Simplify right side
    21,088x = 999,887,641
  5. Step 5: Solve for x
    x = 999,887,641/21,088
  6. Step 6: Final answer
    x = 47,415.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.