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Finding the Third Proportional to 138,322 and 303,430

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Solution

The third proportional to 138,322 and 303,430 is: 665,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,322 : 303,430 = 303,430 : x
  2. Step 2: Convert to fraction form
    138,322/303,430 = 303,430/x
  3. Step 3: Cross multiply
    138,322x = 303,430 × 303,430
  4. Step 4: Simplify right side
    138,322x = 92,069,764,900
  5. Step 5: Solve for x
    x = 92,069,764,900/138,322
  6. Step 6: Final answer
    x = 665,619.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.