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Finding the Third Proportional to 295,200 and 611,405

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Solution

The third proportional to 295,200 and 611,405 is: 1,266,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,200 : 611,405 = 611,405 : x
  2. Step 2: Convert to fraction form
    295,200/611,405 = 611,405/x
  3. Step 3: Cross multiply
    295,200x = 611,405 × 611,405
  4. Step 4: Simplify right side
    295,200x = 373,816,074,025
  5. Step 5: Solve for x
    x = 373,816,074,025/295,200
  6. Step 6: Final answer
    x = 1,266,314.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.