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Finding the Third Proportional to 153,471 and 335,406

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Solution

The third proportional to 153,471 and 335,406 is: 733,019.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,471 : 335,406 = 335,406 : x
  2. Step 2: Convert to fraction form
    153,471/335,406 = 335,406/x
  3. Step 3: Cross multiply
    153,471x = 335,406 × 335,406
  4. Step 4: Simplify right side
    153,471x = 112,497,184,836
  5. Step 5: Solve for x
    x = 112,497,184,836/153,471
  6. Step 6: Final answer
    x = 733,019.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.