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Finding the Third Proportional to 21,201 and 32,970

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Solution

The third proportional to 21,201 and 32,970 is: 51,272.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,201 : 32,970 = 32,970 : x
  2. Step 2: Convert to fraction form
    21,201/32,970 = 32,970/x
  3. Step 3: Cross multiply
    21,201x = 32,970 × 32,970
  4. Step 4: Simplify right side
    21,201x = 1,087,020,900
  5. Step 5: Solve for x
    x = 1,087,020,900/21,201
  6. Step 6: Final answer
    x = 51,272.15

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.