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Finding the Third Proportional to 309,579 and 427,770

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Solution

The third proportional to 309,579 and 427,770 is: 591,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,579 : 427,770 = 427,770 : x
  2. Step 2: Convert to fraction form
    309,579/427,770 = 427,770/x
  3. Step 3: Cross multiply
    309,579x = 427,770 × 427,770
  4. Step 4: Simplify right side
    309,579x = 182,987,172,900
  5. Step 5: Solve for x
    x = 182,987,172,900/309,579
  6. Step 6: Final answer
    x = 591,083.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.