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Finding the Third Proportional to 975.75 and 1,473.56

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Solution

The third proportional to 975.75 and 1,473.56 is: 2,225.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.75 : 1,473.56 = 1,473.56 : x
  2. Step 2: Convert to fraction form
    975.75/1,473.56 = 1,473.56/x
  3. Step 3: Cross multiply
    975.75x = 1,473.56 × 1,473.56
  4. Step 4: Simplify right side
    975.75x = 2,171,386.44
  5. Step 5: Solve for x
    x = 2,171,386.44/975.75
  6. Step 6: Final answer
    x = 2,225.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.