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Finding the Third Proportional to 258,500 and 372,316

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Solution

The third proportional to 258,500 and 372,316 is: 536,244.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,500 : 372,316 = 372,316 : x
  2. Step 2: Convert to fraction form
    258,500/372,316 = 372,316/x
  3. Step 3: Cross multiply
    258,500x = 372,316 × 372,316
  4. Step 4: Simplify right side
    258,500x = 138,619,203,856
  5. Step 5: Solve for x
    x = 138,619,203,856/258,500
  6. Step 6: Final answer
    x = 536,244.50

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.