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Finding the Third Proportional to 491.70 and 738.49

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Solution

The third proportional to 491.70 and 738.49 is: 1,109.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.70 : 738.49 = 738.49 : x
  2. Step 2: Convert to fraction form
    491.70/738.49 = 738.49/x
  3. Step 3: Cross multiply
    491.70x = 738.49 × 738.49
  4. Step 4: Simplify right side
    491.70x = 545,370.71
  5. Step 5: Solve for x
    x = 545,370.71/491.70
  6. Step 6: Final answer
    x = 1,109.16

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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.