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Finding the Third Proportional to 276,721 and 423,111

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Solution

The third proportional to 276,721 and 423,111 is: 646,943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,721 : 423,111 = 423,111 : x
  2. Step 2: Convert to fraction form
    276,721/423,111 = 423,111/x
  3. Step 3: Cross multiply
    276,721x = 423,111 × 423,111
  4. Step 4: Simplify right side
    276,721x = 179,022,918,321
  5. Step 5: Solve for x
    x = 179,022,918,321/276,721
  6. Step 6: Final answer
    x = 646,943.74

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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.