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Finding the Third Proportional to 255,238 and 356,813

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Solution

The third proportional to 255,238 and 356,813 is: 498,810.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,238 : 356,813 = 356,813 : x
  2. Step 2: Convert to fraction form
    255,238/356,813 = 356,813/x
  3. Step 3: Cross multiply
    255,238x = 356,813 × 356,813
  4. Step 4: Simplify right side
    255,238x = 127,315,516,969
  5. Step 5: Solve for x
    x = 127,315,516,969/255,238
  6. Step 6: Final answer
    x = 498,810.98

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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.