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Finding the Third Proportional to 259,146 and 399,789

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Solution

The third proportional to 259,146 and 399,789 is: 616,761.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,146 : 399,789 = 399,789 : x
  2. Step 2: Convert to fraction form
    259,146/399,789 = 399,789/x
  3. Step 3: Cross multiply
    259,146x = 399,789 × 399,789
  4. Step 4: Simplify right side
    259,146x = 159,831,244,521
  5. Step 5: Solve for x
    x = 159,831,244,521/259,146
  6. Step 6: Final answer
    x = 616,761.38

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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.