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Finding the Third Proportional to 22,546 and 32,475

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Solution

The third proportional to 22,546 and 32,475 is: 46,776.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,546 : 32,475 = 32,475 : x
  2. Step 2: Convert to fraction form
    22,546/32,475 = 32,475/x
  3. Step 3: Cross multiply
    22,546x = 32,475 × 32,475
  4. Step 4: Simplify right side
    22,546x = 1,054,625,625
  5. Step 5: Solve for x
    x = 1,054,625,625/22,546
  6. Step 6: Final answer
    x = 46,776.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.