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Finding the Third Proportional to 456.50 and 706.75

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Solution

The third proportional to 456.50 and 706.75 is: 1,094.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.50 : 706.75 = 706.75 : x
  2. Step 2: Convert to fraction form
    456.50/706.75 = 706.75/x
  3. Step 3: Cross multiply
    456.50x = 706.75 × 706.75
  4. Step 4: Simplify right side
    456.50x = 499,495.56
  5. Step 5: Solve for x
    x = 499,495.56/456.50
  6. Step 6: Final answer
    x = 1,094.19

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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.