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Finding the Third Proportional to 258,234.75 and 377,442

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Solution

The third proportional to 258,234.75 and 377,442 is: 551,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,234.75 : 377,442 = 377,442 : x
  2. Step 2: Convert to fraction form
    258,234.75/377,442 = 377,442/x
  3. Step 3: Cross multiply
    258,234.75x = 377,442 × 377,442
  4. Step 4: Simplify right side
    258,234.75x = 142,462,463,364
  5. Step 5: Solve for x
    x = 142,462,463,364/258,234.75
  6. Step 6: Final answer
    x = 551,678.13

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.