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Finding the Third Proportional to 611,928 and 860,208

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Solution

The third proportional to 611,928 and 860,208 is: 1,209,223.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,928 : 860,208 = 860,208 : x
  2. Step 2: Convert to fraction form
    611,928/860,208 = 860,208/x
  3. Step 3: Cross multiply
    611,928x = 860,208 × 860,208
  4. Step 4: Simplify right side
    611,928x = 739,957,803,264
  5. Step 5: Solve for x
    x = 739,957,803,264/611,928
  6. Step 6: Final answer
    x = 1,209,223.64

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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.