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Finding the Third Proportional to 422,911.50 and 911,841

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Solution

The third proportional to 422,911.50 and 911,841 is: 1,966,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,911.50 : 911,841 = 911,841 : x
  2. Step 2: Convert to fraction form
    422,911.50/911,841 = 911,841/x
  3. Step 3: Cross multiply
    422,911.50x = 911,841 × 911,841
  4. Step 4: Simplify right side
    422,911.50x = 831,454,009,281
  5. Step 5: Solve for x
    x = 831,454,009,281/422,911.50
  6. Step 6: Final answer
    x = 1,966,023.65

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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.