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Finding the Third Proportional to 490,056 and 770,118

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Solution

The third proportional to 490,056 and 770,118 is: 1,210,232.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,056 : 770,118 = 770,118 : x
  2. Step 2: Convert to fraction form
    490,056/770,118 = 770,118/x
  3. Step 3: Cross multiply
    490,056x = 770,118 × 770,118
  4. Step 4: Simplify right side
    490,056x = 593,081,733,924
  5. Step 5: Solve for x
    x = 593,081,733,924/490,056
  6. Step 6: Final answer
    x = 1,210,232.57

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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.