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Finding the Third Proportional to 258,453 and 377,655

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Solution

The third proportional to 258,453 and 377,655 is: 551,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,453 : 377,655 = 377,655 : x
  2. Step 2: Convert to fraction form
    258,453/377,655 = 377,655/x
  3. Step 3: Cross multiply
    258,453x = 377,655 × 377,655
  4. Step 4: Simplify right side
    258,453x = 142,623,299,025
  5. Step 5: Solve for x
    x = 142,623,299,025/258,453
  6. Step 6: Final answer
    x = 551,834.57

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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.