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Finding the Third Proportional to 159,958 and 243,391

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Solution

The third proportional to 159,958 and 243,391 is: 370,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,958 : 243,391 = 243,391 : x
  2. Step 2: Convert to fraction form
    159,958/243,391 = 243,391/x
  3. Step 3: Cross multiply
    159,958x = 243,391 × 243,391
  4. Step 4: Simplify right side
    159,958x = 59,239,178,881
  5. Step 5: Solve for x
    x = 59,239,178,881/159,958
  6. Step 6: Final answer
    x = 370,342.08

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.