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Finding the Third Proportional to 456.75 and 710.63

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Solution

The third proportional to 456.75 and 710.63 is: 1,105.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.75 : 710.63 = 710.63 : x
  2. Step 2: Convert to fraction form
    456.75/710.63 = 710.63/x
  3. Step 3: Cross multiply
    456.75x = 710.63 × 710.63
  4. Step 4: Simplify right side
    456.75x = 504,987.89
  5. Step 5: Solve for x
    x = 504,987.89/456.75
  6. Step 6: Final answer
    x = 1,105.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.