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Finding the Third Proportional to 115,000 and 158,357

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Solution

The third proportional to 115,000 and 158,357 is: 218,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,000 : 158,357 = 158,357 : x
  2. Step 2: Convert to fraction form
    115,000/158,357 = 158,357/x
  3. Step 3: Cross multiply
    115,000x = 158,357 × 158,357
  4. Step 4: Simplify right side
    115,000x = 25,076,939,449
  5. Step 5: Solve for x
    x = 25,076,939,449/115,000
  6. Step 6: Final answer
    x = 218,060.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.