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Finding the Third Proportional to 153,286 and 239,242

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Solution

The third proportional to 153,286 and 239,242 is: 373,398.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,286 : 239,242 = 239,242 : x
  2. Step 2: Convert to fraction form
    153,286/239,242 = 239,242/x
  3. Step 3: Cross multiply
    153,286x = 239,242 × 239,242
  4. Step 4: Simplify right side
    153,286x = 57,236,734,564
  5. Step 5: Solve for x
    x = 57,236,734,564/153,286
  6. Step 6: Final answer
    x = 373,398.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.