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Finding the Third Proportional to 258,228 and 377,070

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Solution

The third proportional to 258,228 and 377,070 is: 550,605.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,228 : 377,070 = 377,070 : x
  2. Step 2: Convert to fraction form
    258,228/377,070 = 377,070/x
  3. Step 3: Cross multiply
    258,228x = 377,070 × 377,070
  4. Step 4: Simplify right side
    258,228x = 142,181,784,900
  5. Step 5: Solve for x
    x = 142,181,784,900/258,228
  6. Step 6: Final answer
    x = 550,605.61

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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.