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Finding the Third Proportional to 176,004.50 and 378,543.50

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Solution

The third proportional to 176,004.50 and 378,543.50 is: 814,156.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,004.50 : 378,543.50 = 378,543.50 : x
  2. Step 2: Convert to fraction form
    176,004.50/378,543.50 = 378,543.50/x
  3. Step 3: Cross multiply
    176,004.50x = 378,543.50 × 378,543.50
  4. Step 4: Simplify right side
    176,004.50x = 143,295,181,392.25
  5. Step 5: Solve for x
    x = 143,295,181,392.25/176,004.50
  6. Step 6: Final answer
    x = 814,156.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.