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Finding the Third Proportional to 129,698 and 238,084

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Solution

The third proportional to 129,698 and 238,084 is: 437,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,698 : 238,084 = 238,084 : x
  2. Step 2: Convert to fraction form
    129,698/238,084 = 238,084/x
  3. Step 3: Cross multiply
    129,698x = 238,084 × 238,084
  4. Step 4: Simplify right side
    129,698x = 56,683,991,056
  5. Step 5: Solve for x
    x = 56,683,991,056/129,698
  6. Step 6: Final answer
    x = 437,045.99

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.