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Finding the Third Proportional to 681,172 and 1,031,190

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Solution

The third proportional to 681,172 and 1,031,190 is: 1,561,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,172 : 1,031,190 = 1,031,190 : x
  2. Step 2: Convert to fraction form
    681,172/1,031,190 = 1,031,190/x
  3. Step 3: Cross multiply
    681,172x = 1,031,190 × 1,031,190
  4. Step 4: Simplify right side
    681,172x = 1,063,352,816,100
  5. Step 5: Solve for x
    x = 1,063,352,816,100/681,172
  6. Step 6: Final answer
    x = 1,561,063.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.