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Finding the Third Proportional to 243,998 and 389,595

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Solution

The third proportional to 243,998 and 389,595 is: 622,071.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,998 : 389,595 = 389,595 : x
  2. Step 2: Convert to fraction form
    243,998/389,595 = 389,595/x
  3. Step 3: Cross multiply
    243,998x = 389,595 × 389,595
  4. Step 4: Simplify right side
    243,998x = 151,784,264,025
  5. Step 5: Solve for x
    x = 151,784,264,025/243,998
  6. Step 6: Final answer
    x = 622,071.75

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.