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Finding the Third Proportional to 401.63 and 626.06

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Solution

The third proportional to 401.63 and 626.06 is: 975.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.63 : 626.06 = 626.06 : x
  2. Step 2: Convert to fraction form
    401.63/626.06 = 626.06/x
  3. Step 3: Cross multiply
    401.63x = 626.06 × 626.06
  4. Step 4: Simplify right side
    401.63x = 391,954.25
  5. Step 5: Solve for x
    x = 391,954.25/401.63
  6. Step 6: Final answer
    x = 975.92

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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.