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Finding the Third Proportional to 955.31 and 1,478.63

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Solution

The third proportional to 955.31 and 1,478.63 is: 2,288.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.31 : 1,478.63 = 1,478.63 : x
  2. Step 2: Convert to fraction form
    955.31/1,478.63 = 1,478.63/x
  3. Step 3: Cross multiply
    955.31x = 1,478.63 × 1,478.63
  4. Step 4: Simplify right side
    955.31x = 2,186,331.89
  5. Step 5: Solve for x
    x = 2,186,331.89/955.31
  6. Step 6: Final answer
    x = 2,288.60

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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.