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Finding the Third Proportional to 379,080 and 570,159

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Solution

The third proportional to 379,080 and 570,159 is: 857,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,080 : 570,159 = 570,159 : x
  2. Step 2: Convert to fraction form
    379,080/570,159 = 570,159/x
  3. Step 3: Cross multiply
    379,080x = 570,159 × 570,159
  4. Step 4: Simplify right side
    379,080x = 325,081,285,281
  5. Step 5: Solve for x
    x = 325,081,285,281/379,080
  6. Step 6: Final answer
    x = 857,553.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.