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Finding the Third Proportional to 10,840,972.50 and 21,407,769

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Solution

The third proportional to 10,840,972.50 and 21,407,769 is: 42,274,120.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,840,972.50 : 21,407,769 = 21,407,769 : x
  2. Step 2: Convert to fraction form
    10,840,972.50/21,407,769 = 21,407,769/x
  3. Step 3: Cross multiply
    10,840,972.50x = 21,407,769 × 21,407,769
  4. Step 4: Simplify right side
    10,840,972.50x = 458,292,573,557,361
  5. Step 5: Solve for x
    x = 458,292,573,557,361/10,840,972.50
  6. Step 6: Final answer
    x = 42,274,120.11

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.