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Finding the Third Proportional to 250,357 and 556,690

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Solution

The third proportional to 250,357 and 556,690 is: 1,237,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,357 : 556,690 = 556,690 : x
  2. Step 2: Convert to fraction form
    250,357/556,690 = 556,690/x
  3. Step 3: Cross multiply
    250,357x = 556,690 × 556,690
  4. Step 4: Simplify right side
    250,357x = 309,903,756,100
  5. Step 5: Solve for x
    x = 309,903,756,100/250,357
  6. Step 6: Final answer
    x = 1,237,847.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.