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Finding the Third Proportional to 638,407 and 1,370,896

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Solution

The third proportional to 638,407 and 1,370,896 is: 2,943,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,407 : 1,370,896 = 1,370,896 : x
  2. Step 2: Convert to fraction form
    638,407/1,370,896 = 1,370,896/x
  3. Step 3: Cross multiply
    638,407x = 1,370,896 × 1,370,896
  4. Step 4: Simplify right side
    638,407x = 1,879,355,842,816
  5. Step 5: Solve for x
    x = 1,879,355,842,816/638,407
  6. Step 6: Final answer
    x = 2,943,820.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.