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Finding the Third Proportional to 261,811.50 and 570,279

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Solution

The third proportional to 261,811.50 and 570,279 is: 1,242,184.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,811.50 : 570,279 = 570,279 : x
  2. Step 2: Convert to fraction form
    261,811.50/570,279 = 570,279/x
  3. Step 3: Cross multiply
    261,811.50x = 570,279 × 570,279
  4. Step 4: Simplify right side
    261,811.50x = 325,218,137,841
  5. Step 5: Solve for x
    x = 325,218,137,841/261,811.50
  6. Step 6: Final answer
    x = 1,242,184.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.