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Finding the Third Proportional to 21,607 and 32,431

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Solution

The third proportional to 21,607 and 32,431 is: 48,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,607 : 32,431 = 32,431 : x
  2. Step 2: Convert to fraction form
    21,607/32,431 = 32,431/x
  3. Step 3: Cross multiply
    21,607x = 32,431 × 32,431
  4. Step 4: Simplify right side
    21,607x = 1,051,769,761
  5. Step 5: Solve for x
    x = 1,051,769,761/21,607
  6. Step 6: Final answer
    x = 48,677.27

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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.