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Finding the Third Proportional to 172,797.47 and 378,809.16

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Solution

The third proportional to 172,797.47 and 378,809.16 is: 830,431.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,797.47 : 378,809.16 = 378,809.16 : x
  2. Step 2: Convert to fraction form
    172,797.47/378,809.16 = 378,809.16/x
  3. Step 3: Cross multiply
    172,797.47x = 378,809.16 × 378,809.16
  4. Step 4: Simplify right side
    172,797.47x = 143,496,376,858.84
  5. Step 5: Solve for x
    x = 143,496,376,858.84/172,797.47
  6. Step 6: Final answer
    x = 830,431.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.