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Finding the Third Proportional to 258,396 and 377,388

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Solution

The third proportional to 258,396 and 377,388 is: 551,176.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,396 : 377,388 = 377,388 : x
  2. Step 2: Convert to fraction form
    258,396/377,388 = 377,388/x
  3. Step 3: Cross multiply
    258,396x = 377,388 × 377,388
  4. Step 4: Simplify right side
    258,396x = 142,421,702,544
  5. Step 5: Solve for x
    x = 142,421,702,544/258,396
  6. Step 6: Final answer
    x = 551,176.11

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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.