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Finding the Third Proportional to 611,938 and 860,220

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Solution

The third proportional to 611,938 and 860,220 is: 1,209,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,938 : 860,220 = 860,220 : x
  2. Step 2: Convert to fraction form
    611,938/860,220 = 860,220/x
  3. Step 3: Cross multiply
    611,938x = 860,220 × 860,220
  4. Step 4: Simplify right side
    611,938x = 739,978,448,400
  5. Step 5: Solve for x
    x = 739,978,448,400/611,938
  6. Step 6: Final answer
    x = 1,209,237.62

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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.