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Finding the Third Proportional to 301,406 and 409,334

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Solution

The third proportional to 301,406 and 409,334 is: 555,909.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,406 : 409,334 = 409,334 : x
  2. Step 2: Convert to fraction form
    301,406/409,334 = 409,334/x
  3. Step 3: Cross multiply
    301,406x = 409,334 × 409,334
  4. Step 4: Simplify right side
    301,406x = 167,554,323,556
  5. Step 5: Solve for x
    x = 167,554,323,556/301,406
  6. Step 6: Final answer
    x = 555,909.05

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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.