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Finding the Third Proportional to 258,120 and 387,288

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Solution

The third proportional to 258,120 and 387,288 is: 581,094.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,120 : 387,288 = 387,288 : x
  2. Step 2: Convert to fraction form
    258,120/387,288 = 387,288/x
  3. Step 3: Cross multiply
    258,120x = 387,288 × 387,288
  4. Step 4: Simplify right side
    258,120x = 149,991,994,944
  5. Step 5: Solve for x
    x = 149,991,994,944/258,120
  6. Step 6: Final answer
    x = 581,094.05

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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.