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Finding the Third Proportional to 177,430.50 and 274,893.75

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Solution

The third proportional to 177,430.50 and 274,893.75 is: 425,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,430.50 : 274,893.75 = 274,893.75 : x
  2. Step 2: Convert to fraction form
    177,430.50/274,893.75 = 274,893.75/x
  3. Step 3: Cross multiply
    177,430.50x = 274,893.75 × 274,893.75
  4. Step 4: Simplify right side
    177,430.50x = 75,566,573,789.06
  5. Step 5: Solve for x
    x = 75,566,573,789.06/177,430.50
  6. Step 6: Final answer
    x = 425,893.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.