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Finding the Third Proportional to 457.06 and 668.50

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Solution

The third proportional to 457.06 and 668.50 is: 977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.06 : 668.50 = 668.50 : x
  2. Step 2: Convert to fraction form
    457.06/668.50 = 668.50/x
  3. Step 3: Cross multiply
    457.06x = 668.50 × 668.50
  4. Step 4: Simplify right side
    457.06x = 446,892.25
  5. Step 5: Solve for x
    x = 446,892.25/457.06
  6. Step 6: Final answer
    x = 977.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.