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Finding the Third Proportional to 309,897 and 478,859

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Solution

The third proportional to 309,897 and 478,859 is: 739,942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,897 : 478,859 = 478,859 : x
  2. Step 2: Convert to fraction form
    309,897/478,859 = 478,859/x
  3. Step 3: Cross multiply
    309,897x = 478,859 × 478,859
  4. Step 4: Simplify right side
    309,897x = 229,305,941,881
  5. Step 5: Solve for x
    x = 229,305,941,881/309,897
  6. Step 6: Final answer
    x = 739,942.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.