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Finding the Third Proportional to 275,258 and 420,783

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Solution

The third proportional to 275,258 and 420,783 is: 643,245.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,258 : 420,783 = 420,783 : x
  2. Step 2: Convert to fraction form
    275,258/420,783 = 420,783/x
  3. Step 3: Cross multiply
    275,258x = 420,783 × 420,783
  4. Step 4: Simplify right side
    275,258x = 177,058,333,089
  5. Step 5: Solve for x
    x = 177,058,333,089/275,258
  6. Step 6: Final answer
    x = 643,245.00

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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.