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Finding the Third Proportional to 397,316 and 860,638

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Solution

The third proportional to 397,316 and 860,638 is: 1,864,253.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,316 : 860,638 = 860,638 : x
  2. Step 2: Convert to fraction form
    397,316/860,638 = 860,638/x
  3. Step 3: Cross multiply
    397,316x = 860,638 × 860,638
  4. Step 4: Simplify right side
    397,316x = 740,697,767,044
  5. Step 5: Solve for x
    x = 740,697,767,044/397,316
  6. Step 6: Final answer
    x = 1,864,253.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.