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Finding the Third Proportional to 428.63 and 626.06

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Solution

The third proportional to 428.63 and 626.06 is: 914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    428.63 : 626.06 = 626.06 : x
  2. Step 2: Convert to fraction form
    428.63/626.06 = 626.06/x
  3. Step 3: Cross multiply
    428.63x = 626.06 × 626.06
  4. Step 4: Simplify right side
    428.63x = 391,954.25
  5. Step 5: Solve for x
    x = 391,954.25/428.63
  6. Step 6: Final answer
    x = 914.45

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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.