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Finding the Third Proportional to 312,255 and 608,958

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Solution

The third proportional to 312,255 and 608,958 is: 1,187,586.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,255 : 608,958 = 608,958 : x
  2. Step 2: Convert to fraction form
    312,255/608,958 = 608,958/x
  3. Step 3: Cross multiply
    312,255x = 608,958 × 608,958
  4. Step 4: Simplify right side
    312,255x = 370,829,845,764
  5. Step 5: Solve for x
    x = 370,829,845,764/312,255
  6. Step 6: Final answer
    x = 1,187,586.57

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.