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Finding the Third Proportional to 259,232 and 399,904

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Solution

The third proportional to 259,232 and 399,904 is: 616,911.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,232 : 399,904 = 399,904 : x
  2. Step 2: Convert to fraction form
    259,232/399,904 = 399,904/x
  3. Step 3: Cross multiply
    259,232x = 399,904 × 399,904
  4. Step 4: Simplify right side
    259,232x = 159,923,209,216
  5. Step 5: Solve for x
    x = 159,923,209,216/259,232
  6. Step 6: Final answer
    x = 616,911.53

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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.