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Finding the Third Proportional to 109,438 and 178,683

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Solution

The third proportional to 109,438 and 178,683 is: 291,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,438 : 178,683 = 178,683 : x
  2. Step 2: Convert to fraction form
    109,438/178,683 = 178,683/x
  3. Step 3: Cross multiply
    109,438x = 178,683 × 178,683
  4. Step 4: Simplify right side
    109,438x = 31,927,614,489
  5. Step 5: Solve for x
    x = 31,927,614,489/109,438
  6. Step 6: Final answer
    x = 291,741.58

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.