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Finding the Third Proportional to 342 and 491.50

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Solution

The third proportional to 342 and 491.50 is: 706.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 491.50 = 491.50 : x
  2. Step 2: Convert to fraction form
    342/491.50 = 491.50/x
  3. Step 3: Cross multiply
    342x = 491.50 × 491.50
  4. Step 4: Simplify right side
    342x = 241,572.25
  5. Step 5: Solve for x
    x = 241,572.25/342
  6. Step 6: Final answer
    x = 706.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.