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Finding the Third Proportional to 270,945 and 421,929

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Solution

The third proportional to 270,945 and 421,929 is: 657,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,945 : 421,929 = 421,929 : x
  2. Step 2: Convert to fraction form
    270,945/421,929 = 421,929/x
  3. Step 3: Cross multiply
    270,945x = 421,929 × 421,929
  4. Step 4: Simplify right side
    270,945x = 178,024,081,041
  5. Step 5: Solve for x
    x = 178,024,081,041/270,945
  6. Step 6: Final answer
    x = 657,048.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.