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Finding the Third Proportional to 128,346 and 309,201

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Solution

The third proportional to 128,346 and 309,201 is: 744,902.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,346 : 309,201 = 309,201 : x
  2. Step 2: Convert to fraction form
    128,346/309,201 = 309,201/x
  3. Step 3: Cross multiply
    128,346x = 309,201 × 309,201
  4. Step 4: Simplify right side
    128,346x = 95,605,258,401
  5. Step 5: Solve for x
    x = 95,605,258,401/128,346
  6. Step 6: Final answer
    x = 744,902.52

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.