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Finding the Third Proportional to 647.37 and 968.20

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Solution

The third proportional to 647.37 and 968.20 is: 1,448.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.37 : 968.20 = 968.20 : x
  2. Step 2: Convert to fraction form
    647.37/968.20 = 968.20/x
  3. Step 3: Cross multiply
    647.37x = 968.20 × 968.20
  4. Step 4: Simplify right side
    647.37x = 937,417.29
  5. Step 5: Solve for x
    x = 937,417.29/647.37
  6. Step 6: Final answer
    x = 1,448.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.