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Finding the Third Proportional to 115,407 and 180,400.50

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Solution

The third proportional to 115,407 and 180,400.50 is: 281,996.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,407 : 180,400.50 = 180,400.50 : x
  2. Step 2: Convert to fraction form
    115,407/180,400.50 = 180,400.50/x
  3. Step 3: Cross multiply
    115,407x = 180,400.50 × 180,400.50
  4. Step 4: Simplify right side
    115,407x = 32,544,340,400.25
  5. Step 5: Solve for x
    x = 32,544,340,400.25/115,407
  6. Step 6: Final answer
    x = 281,996.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.