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Finding the Third Proportional to 450.75 and 812.06

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Solution

The third proportional to 450.75 and 812.06 is: 1,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.75 : 812.06 = 812.06 : x
  2. Step 2: Convert to fraction form
    450.75/812.06 = 812.06/x
  3. Step 3: Cross multiply
    450.75x = 812.06 × 812.06
  4. Step 4: Simplify right side
    450.75x = 659,445.50
  5. Step 5: Solve for x
    x = 659,445.50/450.75
  6. Step 6: Final answer
    x = 1,463.00

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.