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Finding the Third Proportional to 647.02 and 982.55

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Solution

The third proportional to 647.02 and 982.55 is: 1,492.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.02 : 982.55 = 982.55 : x
  2. Step 2: Convert to fraction form
    647.02/982.55 = 982.55/x
  3. Step 3: Cross multiply
    647.02x = 982.55 × 982.55
  4. Step 4: Simplify right side
    647.02x = 965,398.36
  5. Step 5: Solve for x
    x = 965,398.36/647.02
  6. Step 6: Final answer
    x = 1,492.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.