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Finding the Third Proportional to 273,742 and 412,344

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Solution

The third proportional to 273,742 and 412,344 is: 621,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,742 : 412,344 = 412,344 : x
  2. Step 2: Convert to fraction form
    273,742/412,344 = 412,344/x
  3. Step 3: Cross multiply
    273,742x = 412,344 × 412,344
  4. Step 4: Simplify right side
    273,742x = 170,027,574,336
  5. Step 5: Solve for x
    x = 170,027,574,336/273,742
  6. Step 6: Final answer
    x = 621,123.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.