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Finding the Third Proportional to 425.63 and 624.94

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Solution

The third proportional to 425.63 and 624.94 is: 917.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.63 : 624.94 = 624.94 : x
  2. Step 2: Convert to fraction form
    425.63/624.94 = 624.94/x
  3. Step 3: Cross multiply
    425.63x = 624.94 × 624.94
  4. Step 4: Simplify right side
    425.63x = 390,546.88
  5. Step 5: Solve for x
    x = 390,546.88/425.63
  6. Step 6: Final answer
    x = 917.58

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.