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Finding the Third Proportional to 133,467.75 and 289,712.53

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Solution

The third proportional to 133,467.75 and 289,712.53 is: 628,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,467.75 : 289,712.53 = 289,712.53 : x
  2. Step 2: Convert to fraction form
    133,467.75/289,712.53 = 289,712.53/x
  3. Step 3: Cross multiply
    133,467.75x = 289,712.53 × 289,712.53
  4. Step 4: Simplify right side
    133,467.75x = 83,933,350,763.28
  5. Step 5: Solve for x
    x = 83,933,350,763.28/133,467.75
  6. Step 6: Final answer
    x = 628,866.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.