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Finding the Third Proportional to 611,910 and 860,184

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Solution

The third proportional to 611,910 and 860,184 is: 1,209,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,910 : 860,184 = 860,184 : x
  2. Step 2: Convert to fraction form
    611,910/860,184 = 860,184/x
  3. Step 3: Cross multiply
    611,910x = 860,184 × 860,184
  4. Step 4: Simplify right side
    611,910x = 739,916,513,856
  5. Step 5: Solve for x
    x = 739,916,513,856/611,910
  6. Step 6: Final answer
    x = 1,209,191.73

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.