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Finding the Third Proportional to 357,738 and 485,781

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Solution

The third proportional to 357,738 and 485,781 is: 659,653.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,738 : 485,781 = 485,781 : x
  2. Step 2: Convert to fraction form
    357,738/485,781 = 485,781/x
  3. Step 3: Cross multiply
    357,738x = 485,781 × 485,781
  4. Step 4: Simplify right side
    357,738x = 235,983,179,961
  5. Step 5: Solve for x
    x = 235,983,179,961/357,738
  6. Step 6: Final answer
    x = 659,653.66

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.