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Finding the Third Proportional to 270,434 and 420,933

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Solution

The third proportional to 270,434 and 420,933 is: 655,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,434 : 420,933 = 420,933 : x
  2. Step 2: Convert to fraction form
    270,434/420,933 = 420,933/x
  3. Step 3: Cross multiply
    270,434x = 420,933 × 420,933
  4. Step 4: Simplify right side
    270,434x = 177,184,590,489
  5. Step 5: Solve for x
    x = 177,184,590,489/270,434
  6. Step 6: Final answer
    x = 655,186.07

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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.