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Finding the Third Proportional to 780,692 and 1,164,561

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Solution

The third proportional to 780,692 and 1,164,561 is: 1,737,179.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,692 : 1,164,561 = 1,164,561 : x
  2. Step 2: Convert to fraction form
    780,692/1,164,561 = 1,164,561/x
  3. Step 3: Cross multiply
    780,692x = 1,164,561 × 1,164,561
  4. Step 4: Simplify right side
    780,692x = 1,356,202,322,721
  5. Step 5: Solve for x
    x = 1,356,202,322,721/780,692
  6. Step 6: Final answer
    x = 1,737,179.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.