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Finding the Third Proportional to 28,546 and 63,211

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Solution

The third proportional to 28,546 and 63,211 is: 139,971.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,546 : 63,211 = 63,211 : x
  2. Step 2: Convert to fraction form
    28,546/63,211 = 63,211/x
  3. Step 3: Cross multiply
    28,546x = 63,211 × 63,211
  4. Step 4: Simplify right side
    28,546x = 3,995,630,521
  5. Step 5: Solve for x
    x = 3,995,630,521/28,546
  6. Step 6: Final answer
    x = 139,971.64

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.