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Finding the Third Proportional to 258,600 and 399,276

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Solution

The third proportional to 258,600 and 399,276 is: 616,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,600 : 399,276 = 399,276 : x
  2. Step 2: Convert to fraction form
    258,600/399,276 = 399,276/x
  3. Step 3: Cross multiply
    258,600x = 399,276 × 399,276
  4. Step 4: Simplify right side
    258,600x = 159,421,324,176
  5. Step 5: Solve for x
    x = 159,421,324,176/258,600
  6. Step 6: Final answer
    x = 616,478.44

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.