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Finding the Third Proportional to 273,471 and 432,684

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Solution

The third proportional to 273,471 and 432,684 is: 684,589.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,471 : 432,684 = 432,684 : x
  2. Step 2: Convert to fraction form
    273,471/432,684 = 432,684/x
  3. Step 3: Cross multiply
    273,471x = 432,684 × 432,684
  4. Step 4: Simplify right side
    273,471x = 187,215,443,856
  5. Step 5: Solve for x
    x = 187,215,443,856/273,471
  6. Step 6: Final answer
    x = 684,589.75

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.