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Finding the Third Proportional to 238,378 and 353,447

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Solution

The third proportional to 238,378 and 353,447 is: 524,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,378 : 353,447 = 353,447 : x
  2. Step 2: Convert to fraction form
    238,378/353,447 = 353,447/x
  3. Step 3: Cross multiply
    238,378x = 353,447 × 353,447
  4. Step 4: Simplify right side
    238,378x = 124,924,781,809
  5. Step 5: Solve for x
    x = 124,924,781,809/238,378
  6. Step 6: Final answer
    x = 524,061.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.