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Finding the Third Proportional to 120,772 and 248,264

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Solution

The third proportional to 120,772 and 248,264 is: 510,341.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,772 : 248,264 = 248,264 : x
  2. Step 2: Convert to fraction form
    120,772/248,264 = 248,264/x
  3. Step 3: Cross multiply
    120,772x = 248,264 × 248,264
  4. Step 4: Simplify right side
    120,772x = 61,635,013,696
  5. Step 5: Solve for x
    x = 61,635,013,696/120,772
  6. Step 6: Final answer
    x = 510,341.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.