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Finding the Third Proportional to 159,459 and 335,442

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Solution

The third proportional to 159,459 and 335,442 is: 705,644.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,459 : 335,442 = 335,442 : x
  2. Step 2: Convert to fraction form
    159,459/335,442 = 335,442/x
  3. Step 3: Cross multiply
    159,459x = 335,442 × 335,442
  4. Step 4: Simplify right side
    159,459x = 112,521,335,364
  5. Step 5: Solve for x
    x = 112,521,335,364/159,459
  6. Step 6: Final answer
    x = 705,644.31

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.