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Finding the Third Proportional to 281,509 and 411,321

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Solution

The third proportional to 281,509 and 411,321 is: 600,993.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,509 : 411,321 = 411,321 : x
  2. Step 2: Convert to fraction form
    281,509/411,321 = 411,321/x
  3. Step 3: Cross multiply
    281,509x = 411,321 × 411,321
  4. Step 4: Simplify right side
    281,509x = 169,184,965,041
  5. Step 5: Solve for x
    x = 169,184,965,041/281,509
  6. Step 6: Final answer
    x = 600,993.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.