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Finding the Third Proportional to 258,440 and 377,436

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Solution

The third proportional to 258,440 and 377,436 is: 551,222.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,440 : 377,436 = 377,436 : x
  2. Step 2: Convert to fraction form
    258,440/377,436 = 377,436/x
  3. Step 3: Cross multiply
    258,440x = 377,436 × 377,436
  4. Step 4: Simplify right side
    258,440x = 142,457,934,096
  5. Step 5: Solve for x
    x = 142,457,934,096/258,440
  6. Step 6: Final answer
    x = 551,222.47

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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.