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Finding the Third Proportional to 253,852 and 551,470

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Solution

The third proportional to 253,852 and 551,470 is: 1,198,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,852 : 551,470 = 551,470 : x
  2. Step 2: Convert to fraction form
    253,852/551,470 = 551,470/x
  3. Step 3: Cross multiply
    253,852x = 551,470 × 551,470
  4. Step 4: Simplify right side
    253,852x = 304,119,160,900
  5. Step 5: Solve for x
    x = 304,119,160,900/253,852
  6. Step 6: Final answer
    x = 1,198,017.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.