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Finding the Third Proportional to 780,931 and 1,179,717

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Solution

The third proportional to 780,931 and 1,179,717 is: 1,782,144.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,931 : 1,179,717 = 1,179,717 : x
  2. Step 2: Convert to fraction form
    780,931/1,179,717 = 1,179,717/x
  3. Step 3: Cross multiply
    780,931x = 1,179,717 × 1,179,717
  4. Step 4: Simplify right side
    780,931x = 1,391,732,200,089
  5. Step 5: Solve for x
    x = 1,391,732,200,089/780,931
  6. Step 6: Final answer
    x = 1,782,144.90

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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.