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Finding the Third Proportional to 305,687 and 719,268

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Solution

The third proportional to 305,687 and 719,268 is: 1,692,405.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,687 : 719,268 = 719,268 : x
  2. Step 2: Convert to fraction form
    305,687/719,268 = 719,268/x
  3. Step 3: Cross multiply
    305,687x = 719,268 × 719,268
  4. Step 4: Simplify right side
    305,687x = 517,346,455,824
  5. Step 5: Solve for x
    x = 517,346,455,824/305,687
  6. Step 6: Final answer
    x = 1,692,405.81

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.