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Finding the Third Proportional to 151,740 and 218,586

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Solution

The third proportional to 151,740 and 218,586 is: 314,879.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,740 : 218,586 = 218,586 : x
  2. Step 2: Convert to fraction form
    151,740/218,586 = 218,586/x
  3. Step 3: Cross multiply
    151,740x = 218,586 × 218,586
  4. Step 4: Simplify right side
    151,740x = 47,779,839,396
  5. Step 5: Solve for x
    x = 47,779,839,396/151,740
  6. Step 6: Final answer
    x = 314,879.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.