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Finding the Third Proportional to 145,493 and 218,781

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Solution

The third proportional to 145,493 and 218,781 is: 328,985.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,493 : 218,781 = 218,781 : x
  2. Step 2: Convert to fraction form
    145,493/218,781 = 218,781/x
  3. Step 3: Cross multiply
    145,493x = 218,781 × 218,781
  4. Step 4: Simplify right side
    145,493x = 47,865,125,961
  5. Step 5: Solve for x
    x = 47,865,125,961/145,493
  6. Step 6: Final answer
    x = 328,985.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.