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Finding the Third Proportional to 351,485 and 727,895

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Solution

The third proportional to 351,485 and 727,895 is: 1,507,407.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,485 : 727,895 = 727,895 : x
  2. Step 2: Convert to fraction form
    351,485/727,895 = 727,895/x
  3. Step 3: Cross multiply
    351,485x = 727,895 × 727,895
  4. Step 4: Simplify right side
    351,485x = 529,831,131,025
  5. Step 5: Solve for x
    x = 529,831,131,025/351,485
  6. Step 6: Final answer
    x = 1,507,407.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.