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Finding the Third Proportional to 3,209 and 4,971

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Solution

The third proportional to 3,209 and 4,971 is: 7,700.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209 : 4,971 = 4,971 : x
  2. Step 2: Convert to fraction form
    3,209/4,971 = 4,971/x
  3. Step 3: Cross multiply
    3,209x = 4,971 × 4,971
  4. Step 4: Simplify right side
    3,209x = 24,710,841
  5. Step 5: Solve for x
    x = 24,710,841/3,209
  6. Step 6: Final answer
    x = 7,700.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.