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Finding the Third Proportional to 110,502 and 238,476

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Solution

The third proportional to 110,502 and 238,476 is: 514,658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,502 : 238,476 = 238,476 : x
  2. Step 2: Convert to fraction form
    110,502/238,476 = 238,476/x
  3. Step 3: Cross multiply
    110,502x = 238,476 × 238,476
  4. Step 4: Simplify right side
    110,502x = 56,870,802,576
  5. Step 5: Solve for x
    x = 56,870,802,576/110,502
  6. Step 6: Final answer
    x = 514,658.58

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.