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Finding the Third Proportional to 638,840 and 1,407,306

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Solution

The third proportional to 638,840 and 1,407,306 is: 3,100,166.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,840 : 1,407,306 = 1,407,306 : x
  2. Step 2: Convert to fraction form
    638,840/1,407,306 = 1,407,306/x
  3. Step 3: Cross multiply
    638,840x = 1,407,306 × 1,407,306
  4. Step 4: Simplify right side
    638,840x = 1,980,510,177,636
  5. Step 5: Solve for x
    x = 1,980,510,177,636/638,840
  6. Step 6: Final answer
    x = 3,100,166.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.