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Finding the Third Proportional to 177,192.75 and 378,973.50

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Solution

The third proportional to 177,192.75 and 378,973.50 is: 810,534.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,192.75 : 378,973.50 = 378,973.50 : x
  2. Step 2: Convert to fraction form
    177,192.75/378,973.50 = 378,973.50/x
  3. Step 3: Cross multiply
    177,192.75x = 378,973.50 × 378,973.50
  4. Step 4: Simplify right side
    177,192.75x = 143,620,913,702.25
  5. Step 5: Solve for x
    x = 143,620,913,702.25/177,192.75
  6. Step 6: Final answer
    x = 810,534.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.