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Finding the Third Proportional to 120,624 and 257,813

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Solution

The third proportional to 120,624 and 257,813 is: 551,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,624 : 257,813 = 257,813 : x
  2. Step 2: Convert to fraction form
    120,624/257,813 = 257,813/x
  3. Step 3: Cross multiply
    120,624x = 257,813 × 257,813
  4. Step 4: Simplify right side
    120,624x = 66,467,542,969
  5. Step 5: Solve for x
    x = 66,467,542,969/120,624
  6. Step 6: Final answer
    x = 551,030.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.