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Finding the Third Proportional to 104,100 and 231,492

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Solution

The third proportional to 104,100 and 231,492 is: 514,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,100 : 231,492 = 231,492 : x
  2. Step 2: Convert to fraction form
    104,100/231,492 = 231,492/x
  3. Step 3: Cross multiply
    104,100x = 231,492 × 231,492
  4. Step 4: Simplify right side
    104,100x = 53,588,546,064
  5. Step 5: Solve for x
    x = 53,588,546,064/104,100
  6. Step 6: Final answer
    x = 514,779.50

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.