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Finding the Third Proportional to 301,424 and 409,370

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Solution

The third proportional to 301,424 and 409,370 is: 555,973.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,424 : 409,370 = 409,370 : x
  2. Step 2: Convert to fraction form
    301,424/409,370 = 409,370/x
  3. Step 3: Cross multiply
    301,424x = 409,370 × 409,370
  4. Step 4: Simplify right side
    301,424x = 167,583,796,900
  5. Step 5: Solve for x
    x = 167,583,796,900/301,424
  6. Step 6: Final answer
    x = 555,973.63

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.