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Finding the Third Proportional to 371,072 and 555,638

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Solution

The third proportional to 371,072 and 555,638 is: 832,004.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,072 : 555,638 = 555,638 : x
  2. Step 2: Convert to fraction form
    371,072/555,638 = 555,638/x
  3. Step 3: Cross multiply
    371,072x = 555,638 × 555,638
  4. Step 4: Simplify right side
    371,072x = 308,733,587,044
  5. Step 5: Solve for x
    x = 308,733,587,044/371,072
  6. Step 6: Final answer
    x = 832,004.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.