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Finding the Third Proportional to 258,349 and 377,315

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Solution

The third proportional to 258,349 and 377,315 is: 551,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,349 : 377,315 = 377,315 : x
  2. Step 2: Convert to fraction form
    258,349/377,315 = 377,315/x
  3. Step 3: Cross multiply
    258,349x = 377,315 × 377,315
  4. Step 4: Simplify right side
    258,349x = 142,366,609,225
  5. Step 5: Solve for x
    x = 142,366,609,225/258,349
  6. Step 6: Final answer
    x = 551,063.13

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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.