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Finding the Third Proportional to 492,114 and 770,975

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Solution

The third proportional to 492,114 and 770,975 is: 1,207,855.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,114 : 770,975 = 770,975 : x
  2. Step 2: Convert to fraction form
    492,114/770,975 = 770,975/x
  3. Step 3: Cross multiply
    492,114x = 770,975 × 770,975
  4. Step 4: Simplify right side
    492,114x = 594,402,450,625
  5. Step 5: Solve for x
    x = 594,402,450,625/492,114
  6. Step 6: Final answer
    x = 1,207,855.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.