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Finding the Third Proportional to 258,290 and 387,420

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Solution

The third proportional to 258,290 and 387,420 is: 581,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,290 : 387,420 = 387,420 : x
  2. Step 2: Convert to fraction form
    258,290/387,420 = 387,420/x
  3. Step 3: Cross multiply
    258,290x = 387,420 × 387,420
  4. Step 4: Simplify right side
    258,290x = 150,094,256,400
  5. Step 5: Solve for x
    x = 150,094,256,400/258,290
  6. Step 6: Final answer
    x = 581,107.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.