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Finding the Third Proportional to 454.13 and 975.75

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Solution

The third proportional to 454.13 and 975.75 is: 2,096.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.13 : 975.75 = 975.75 : x
  2. Step 2: Convert to fraction form
    454.13/975.75 = 975.75/x
  3. Step 3: Cross multiply
    454.13x = 975.75 × 975.75
  4. Step 4: Simplify right side
    454.13x = 952,088.06
  5. Step 5: Solve for x
    x = 952,088.06/454.13
  6. Step 6: Final answer
    x = 2,096.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.