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Finding the Third Proportional to 538,220 and 1,268,735

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Solution

The third proportional to 538,220 and 1,268,735 is: 2,990,763.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,220 : 1,268,735 = 1,268,735 : x
  2. Step 2: Convert to fraction form
    538,220/1,268,735 = 1,268,735/x
  3. Step 3: Cross multiply
    538,220x = 1,268,735 × 1,268,735
  4. Step 4: Simplify right side
    538,220x = 1,609,688,500,225
  5. Step 5: Solve for x
    x = 1,609,688,500,225/538,220
  6. Step 6: Final answer
    x = 2,990,763.07

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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.