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Finding the Third Proportional to 491.48 and 716.13

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Solution

The third proportional to 491.48 and 716.13 is: 1,043.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.48 : 716.13 = 716.13 : x
  2. Step 2: Convert to fraction form
    491.48/716.13 = 716.13/x
  3. Step 3: Cross multiply
    491.48x = 716.13 × 716.13
  4. Step 4: Simplify right side
    491.48x = 512,846.21
  5. Step 5: Solve for x
    x = 512,846.21/491.48
  6. Step 6: Final answer
    x = 1,043.46

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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.