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Finding the Third Proportional to 281,505 and 411,315

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Solution

The third proportional to 281,505 and 411,315 is: 600,984.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,505 : 411,315 = 411,315 : x
  2. Step 2: Convert to fraction form
    281,505/411,315 = 411,315/x
  3. Step 3: Cross multiply
    281,505x = 411,315 × 411,315
  4. Step 4: Simplify right side
    281,505x = 169,180,029,225
  5. Step 5: Solve for x
    x = 169,180,029,225/281,505
  6. Step 6: Final answer
    x = 600,984.10

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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.