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Finding the Third Proportional to 155,447 and 335,414

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Solution

The third proportional to 155,447 and 335,414 is: 723,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,447 : 335,414 = 335,414 : x
  2. Step 2: Convert to fraction form
    155,447/335,414 = 335,414/x
  3. Step 3: Cross multiply
    155,447x = 335,414 × 335,414
  4. Step 4: Simplify right side
    155,447x = 112,502,551,396
  5. Step 5: Solve for x
    x = 112,502,551,396/155,447
  6. Step 6: Final answer
    x = 723,735.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.