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Finding the Third Proportional to 301,553 and 409,539

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Solution

The third proportional to 301,553 and 409,539 is: 556,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,553 : 409,539 = 409,539 : x
  2. Step 2: Convert to fraction form
    301,553/409,539 = 409,539/x
  3. Step 3: Cross multiply
    301,553x = 409,539 × 409,539
  4. Step 4: Simplify right side
    301,553x = 167,722,192,521
  5. Step 5: Solve for x
    x = 167,722,192,521/301,553
  6. Step 6: Final answer
    x = 556,194.74

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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.