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Finding the Third Proportional to 275,833 and 421,772

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Solution

The third proportional to 275,833 and 421,772 is: 644,925.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,833 : 421,772 = 421,772 : x
  2. Step 2: Convert to fraction form
    275,833/421,772 = 421,772/x
  3. Step 3: Cross multiply
    275,833x = 421,772 × 421,772
  4. Step 4: Simplify right side
    275,833x = 177,891,619,984
  5. Step 5: Solve for x
    x = 177,891,619,984/275,833
  6. Step 6: Final answer
    x = 644,925.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.