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Finding the Third Proportional to 258,764 and 386,550

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Solution

The third proportional to 258,764 and 386,550 is: 577,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,764 : 386,550 = 386,550 : x
  2. Step 2: Convert to fraction form
    258,764/386,550 = 386,550/x
  3. Step 3: Cross multiply
    258,764x = 386,550 × 386,550
  4. Step 4: Simplify right side
    258,764x = 149,420,902,500
  5. Step 5: Solve for x
    x = 149,420,902,500/258,764
  6. Step 6: Final answer
    x = 577,440.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.