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Finding the Third Proportional to 145,896 and 208,629

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Solution

The third proportional to 145,896 and 208,629 is: 298,336.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,896 : 208,629 = 208,629 : x
  2. Step 2: Convert to fraction form
    145,896/208,629 = 208,629/x
  3. Step 3: Cross multiply
    145,896x = 208,629 × 208,629
  4. Step 4: Simplify right side
    145,896x = 43,526,059,641
  5. Step 5: Solve for x
    x = 43,526,059,641/145,896
  6. Step 6: Final answer
    x = 298,336.21

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.