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Finding the Third Proportional to 208,140 and 490,782

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Solution

The third proportional to 208,140 and 490,782 is: 1,157,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,140 : 490,782 = 490,782 : x
  2. Step 2: Convert to fraction form
    208,140/490,782 = 490,782/x
  3. Step 3: Cross multiply
    208,140x = 490,782 × 490,782
  4. Step 4: Simplify right side
    208,140x = 240,866,971,524
  5. Step 5: Solve for x
    x = 240,866,971,524/208,140
  6. Step 6: Final answer
    x = 1,157,235.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.