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Finding the Third Proportional to 453.59 and 678.62

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Solution

The third proportional to 453.59 and 678.62 is: 1,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.59 : 678.62 = 678.62 : x
  2. Step 2: Convert to fraction form
    453.59/678.62 = 678.62/x
  3. Step 3: Cross multiply
    453.59x = 678.62 × 678.62
  4. Step 4: Simplify right side
    453.59x = 460,526.59
  5. Step 5: Solve for x
    x = 460,526.59/453.59
  6. Step 6: Final answer
    x = 1,015.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.