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Finding the Third Proportional to 681,526 and 1,069,203

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Solution

The third proportional to 681,526 and 1,069,203 is: 1,677,404.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,526 : 1,069,203 = 1,069,203 : x
  2. Step 2: Convert to fraction form
    681,526/1,069,203 = 1,069,203/x
  3. Step 3: Cross multiply
    681,526x = 1,069,203 × 1,069,203
  4. Step 4: Simplify right side
    681,526x = 1,143,195,055,209
  5. Step 5: Solve for x
    x = 1,143,195,055,209/681,526
  6. Step 6: Final answer
    x = 1,677,404.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.