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Finding the Third Proportional to 273,824 and 420,708

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Solution

The third proportional to 273,824 and 420,708 is: 646,383.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,824 : 420,708 = 420,708 : x
  2. Step 2: Convert to fraction form
    273,824/420,708 = 420,708/x
  3. Step 3: Cross multiply
    273,824x = 420,708 × 420,708
  4. Step 4: Simplify right side
    273,824x = 176,995,221,264
  5. Step 5: Solve for x
    x = 176,995,221,264/273,824
  6. Step 6: Final answer
    x = 646,383.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.