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Finding the Third Proportional to 270,279 and 389,326.50

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Solution

The third proportional to 270,279 and 389,326.50 is: 560,809.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,279 : 389,326.50 = 389,326.50 : x
  2. Step 2: Convert to fraction form
    270,279/389,326.50 = 389,326.50/x
  3. Step 3: Cross multiply
    270,279x = 389,326.50 × 389,326.50
  4. Step 4: Simplify right side
    270,279x = 151,575,123,602.25
  5. Step 5: Solve for x
    x = 151,575,123,602.25/270,279
  6. Step 6: Final answer
    x = 560,809.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.