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Finding the Third Proportional to 2,157.75 and 2,971.50

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Solution

The third proportional to 2,157.75 and 2,971.50 is: 4,092.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,157.75 : 2,971.50 = 2,971.50 : x
  2. Step 2: Convert to fraction form
    2,157.75/2,971.50 = 2,971.50/x
  3. Step 3: Cross multiply
    2,157.75x = 2,971.50 × 2,971.50
  4. Step 4: Simplify right side
    2,157.75x = 8,829,812.25
  5. Step 5: Solve for x
    x = 8,829,812.25/2,157.75
  6. Step 6: Final answer
    x = 4,092.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.