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Finding the Third Proportional to 238,305 and 349,438.50

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Solution

The third proportional to 238,305 and 349,438.50 is: 512,399.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,305 : 349,438.50 = 349,438.50 : x
  2. Step 2: Convert to fraction form
    238,305/349,438.50 = 349,438.50/x
  3. Step 3: Cross multiply
    238,305x = 349,438.50 × 349,438.50
  4. Step 4: Simplify right side
    238,305x = 122,107,265,282.25
  5. Step 5: Solve for x
    x = 122,107,265,282.25/238,305
  6. Step 6: Final answer
    x = 512,399.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.