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Finding the Third Proportional to 861,165 and 1,860,120

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Solution

The third proportional to 861,165 and 1,860,120 is: 4,017,866.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,165 : 1,860,120 = 1,860,120 : x
  2. Step 2: Convert to fraction form
    861,165/1,860,120 = 1,860,120/x
  3. Step 3: Cross multiply
    861,165x = 1,860,120 × 1,860,120
  4. Step 4: Simplify right side
    861,165x = 3,460,046,414,400
  5. Step 5: Solve for x
    x = 3,460,046,414,400/861,165
  6. Step 6: Final answer
    x = 4,017,866.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.