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Finding the Third Proportional to 422,940 and 911,893.50

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Solution

The third proportional to 422,940 and 911,893.50 is: 1,966,117.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,940 : 911,893.50 = 911,893.50 : x
  2. Step 2: Convert to fraction form
    422,940/911,893.50 = 911,893.50/x
  3. Step 3: Cross multiply
    422,940x = 911,893.50 × 911,893.50
  4. Step 4: Simplify right side
    422,940x = 831,549,755,342.25
  5. Step 5: Solve for x
    x = 831,549,755,342.25/422,940
  6. Step 6: Final answer
    x = 1,966,117.55

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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.