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Finding the Third Proportional to 254,841 and 356,437.50

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Solution

The third proportional to 254,841 and 356,437.50 is: 498,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,841 : 356,437.50 = 356,437.50 : x
  2. Step 2: Convert to fraction form
    254,841/356,437.50 = 356,437.50/x
  3. Step 3: Cross multiply
    254,841x = 356,437.50 × 356,437.50
  4. Step 4: Simplify right side
    254,841x = 127,047,691,406.25
  5. Step 5: Solve for x
    x = 127,047,691,406.25/254,841
  6. Step 6: Final answer
    x = 498,537.09

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.