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Finding the Third Proportional to 308,924 and 721,735

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Solution

The third proportional to 308,924 and 721,735 is: 1,686,179.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,924 : 721,735 = 721,735 : x
  2. Step 2: Convert to fraction form
    308,924/721,735 = 721,735/x
  3. Step 3: Cross multiply
    308,924x = 721,735 × 721,735
  4. Step 4: Simplify right side
    308,924x = 520,901,410,225
  5. Step 5: Solve for x
    x = 520,901,410,225/308,924
  6. Step 6: Final answer
    x = 1,686,179.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.