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Finding the Third Proportional to 138,273 and 301,575

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Solution

The third proportional to 138,273 and 301,575 is: 657,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,273 : 301,575 = 301,575 : x
  2. Step 2: Convert to fraction form
    138,273/301,575 = 301,575/x
  3. Step 3: Cross multiply
    138,273x = 301,575 × 301,575
  4. Step 4: Simplify right side
    138,273x = 90,947,480,625
  5. Step 5: Solve for x
    x = 90,947,480,625/138,273
  6. Step 6: Final answer
    x = 657,738.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.