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Finding the Third Proportional to 111,476 and 238,072

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Solution

The third proportional to 111,476 and 238,072 is: 508,434.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,476 : 238,072 = 238,072 : x
  2. Step 2: Convert to fraction form
    111,476/238,072 = 238,072/x
  3. Step 3: Cross multiply
    111,476x = 238,072 × 238,072
  4. Step 4: Simplify right side
    111,476x = 56,678,277,184
  5. Step 5: Solve for x
    x = 56,678,277,184/111,476
  6. Step 6: Final answer
    x = 508,434.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.