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Finding the Third Proportional to 2,957 and 6,489.50

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Solution

The third proportional to 2,957 and 6,489.50 is: 14,242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,957 : 6,489.50 = 6,489.50 : x
  2. Step 2: Convert to fraction form
    2,957/6,489.50 = 6,489.50/x
  3. Step 3: Cross multiply
    2,957x = 6,489.50 × 6,489.50
  4. Step 4: Simplify right side
    2,957x = 42,113,610.25
  5. Step 5: Solve for x
    x = 42,113,610.25/2,957
  6. Step 6: Final answer
    x = 14,242.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.