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Finding the Third Proportional to 138,429 and 296,053

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Solution

The third proportional to 138,429 and 296,053 is: 633,157.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,429 : 296,053 = 296,053 : x
  2. Step 2: Convert to fraction form
    138,429/296,053 = 296,053/x
  3. Step 3: Cross multiply
    138,429x = 296,053 × 296,053
  4. Step 4: Simplify right side
    138,429x = 87,647,378,809
  5. Step 5: Solve for x
    x = 87,647,378,809/138,429
  6. Step 6: Final answer
    x = 633,157.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.