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Finding the Third Proportional to 15,645 and 32,328

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Solution

The third proportional to 15,645 and 32,328 is: 66,800.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,645 : 32,328 = 32,328 : x
  2. Step 2: Convert to fraction form
    15,645/32,328 = 32,328/x
  3. Step 3: Cross multiply
    15,645x = 32,328 × 32,328
  4. Step 4: Simplify right side
    15,645x = 1,045,099,584
  5. Step 5: Solve for x
    x = 1,045,099,584/15,645
  6. Step 6: Final answer
    x = 66,800.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.