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Finding the Third Proportional to 511,164 and 790,668

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Solution

The third proportional to 511,164 and 790,668 is: 1,223,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,164 : 790,668 = 790,668 : x
  2. Step 2: Convert to fraction form
    511,164/790,668 = 790,668/x
  3. Step 3: Cross multiply
    511,164x = 790,668 × 790,668
  4. Step 4: Simplify right side
    511,164x = 625,155,886,224
  5. Step 5: Solve for x
    x = 625,155,886,224/511,164
  6. Step 6: Final answer
    x = 1,223,004.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.