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Finding the Third Proportional to 259,148 and 399,792

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Solution

The third proportional to 259,148 and 399,792 is: 616,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,148 : 399,792 = 399,792 : x
  2. Step 2: Convert to fraction form
    259,148/399,792 = 399,792/x
  3. Step 3: Cross multiply
    259,148x = 399,792 × 399,792
  4. Step 4: Simplify right side
    259,148x = 159,833,643,264
  5. Step 5: Solve for x
    x = 159,833,643,264/259,148
  6. Step 6: Final answer
    x = 616,765.88

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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.