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Finding the Third Proportional to 258,072 and 379,515

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Solution

The third proportional to 258,072 and 379,515 is: 558,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,072 : 379,515 = 379,515 : x
  2. Step 2: Convert to fraction form
    258,072/379,515 = 379,515/x
  3. Step 3: Cross multiply
    258,072x = 379,515 × 379,515
  4. Step 4: Simplify right side
    258,072x = 144,031,635,225
  5. Step 5: Solve for x
    x = 144,031,635,225/258,072
  6. Step 6: Final answer
    x = 558,106.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.