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Finding the Third Proportional to 1,387,975.50 and 3,212,973

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Solution

The third proportional to 1,387,975.50 and 3,212,973 is: 7,437,592.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387,975.50 : 3,212,973 = 3,212,973 : x
  2. Step 2: Convert to fraction form
    1,387,975.50/3,212,973 = 3,212,973/x
  3. Step 3: Cross multiply
    1,387,975.50x = 3,212,973 × 3,212,973
  4. Step 4: Simplify right side
    1,387,975.50x = 10,323,195,498,729
  5. Step 5: Solve for x
    x = 10,323,195,498,729/1,387,975.50
  6. Step 6: Final answer
    x = 7,437,592.02

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.