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Finding the Third Proportional to 301,424 and 421,434

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Solution

The third proportional to 301,424 and 421,434 is: 589,225.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,424 : 421,434 = 421,434 : x
  2. Step 2: Convert to fraction form
    301,424/421,434 = 421,434/x
  3. Step 3: Cross multiply
    301,424x = 421,434 × 421,434
  4. Step 4: Simplify right side
    301,424x = 177,606,616,356
  5. Step 5: Solve for x
    x = 177,606,616,356/301,424
  6. Step 6: Final answer
    x = 589,225.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.