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Finding the Third Proportional to 357,138 and 485,039

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Solution

The third proportional to 357,138 and 485,039 is: 658,744.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,138 : 485,039 = 485,039 : x
  2. Step 2: Convert to fraction form
    357,138/485,039 = 485,039/x
  3. Step 3: Cross multiply
    357,138x = 485,039 × 485,039
  4. Step 4: Simplify right side
    357,138x = 235,262,831,521
  5. Step 5: Solve for x
    x = 235,262,831,521/357,138
  6. Step 6: Final answer
    x = 658,744.89

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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.