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Finding the Third Proportional to 275,043 and 437,647.50

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Solution

The third proportional to 275,043 and 437,647.50 is: 696,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,043 : 437,647.50 = 437,647.50 : x
  2. Step 2: Convert to fraction form
    275,043/437,647.50 = 437,647.50/x
  3. Step 3: Cross multiply
    275,043x = 437,647.50 × 437,647.50
  4. Step 4: Simplify right side
    275,043x = 191,535,334,256.25
  5. Step 5: Solve for x
    x = 191,535,334,256.25/275,043
  6. Step 6: Final answer
    x = 696,383.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.