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Finding the Third Proportional to 747,869 and 1,121,485

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Solution

The third proportional to 747,869 and 1,121,485 is: 1,681,749.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,869 : 1,121,485 = 1,121,485 : x
  2. Step 2: Convert to fraction form
    747,869/1,121,485 = 1,121,485/x
  3. Step 3: Cross multiply
    747,869x = 1,121,485 × 1,121,485
  4. Step 4: Simplify right side
    747,869x = 1,257,728,605,225
  5. Step 5: Solve for x
    x = 1,257,728,605,225/747,869
  6. Step 6: Final answer
    x = 1,681,749.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.