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Finding the Third Proportional to 32,447 and 78,532

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Solution

The third proportional to 32,447 and 78,532 is: 190,072.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,447 : 78,532 = 78,532 : x
  2. Step 2: Convert to fraction form
    32,447/78,532 = 78,532/x
  3. Step 3: Cross multiply
    32,447x = 78,532 × 78,532
  4. Step 4: Simplify right side
    32,447x = 6,167,275,024
  5. Step 5: Solve for x
    x = 6,167,275,024/32,447
  6. Step 6: Final answer
    x = 190,072.27

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.