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Finding the Third Proportional to 491.75 and 767.50

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Solution

The third proportional to 491.75 and 767.50 is: 1,197.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.75 : 767.50 = 767.50 : x
  2. Step 2: Convert to fraction form
    491.75/767.50 = 767.50/x
  3. Step 3: Cross multiply
    491.75x = 767.50 × 767.50
  4. Step 4: Simplify right side
    491.75x = 589,056.25
  5. Step 5: Solve for x
    x = 589,056.25/491.75
  6. Step 6: Final answer
    x = 1,197.88

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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.