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Finding the Third Proportional to 178,126 and 238,389

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Solution

The third proportional to 178,126 and 238,389 is: 319,039.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,126 : 238,389 = 238,389 : x
  2. Step 2: Convert to fraction form
    178,126/238,389 = 238,389/x
  3. Step 3: Cross multiply
    178,126x = 238,389 × 238,389
  4. Step 4: Simplify right side
    178,126x = 56,829,315,321
  5. Step 5: Solve for x
    x = 56,829,315,321/178,126
  6. Step 6: Final answer
    x = 319,039.98

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.