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Finding the Third Proportional to 180,985.50 and 397,509.75

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Solution

The third proportional to 180,985.50 and 397,509.75 is: 873,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,985.50 : 397,509.75 = 397,509.75 : x
  2. Step 2: Convert to fraction form
    180,985.50/397,509.75 = 397,509.75/x
  3. Step 3: Cross multiply
    180,985.50x = 397,509.75 × 397,509.75
  4. Step 4: Simplify right side
    180,985.50x = 158,014,001,345.06
  5. Step 5: Solve for x
    x = 158,014,001,345.06/180,985.50
  6. Step 6: Final answer
    x = 873,075.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.