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Finding the Third Proportional to 431,174 and 916,780

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Solution

The third proportional to 431,174 and 916,780 is: 1,949,295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,174 : 916,780 = 916,780 : x
  2. Step 2: Convert to fraction form
    431,174/916,780 = 916,780/x
  3. Step 3: Cross multiply
    431,174x = 916,780 × 916,780
  4. Step 4: Simplify right side
    431,174x = 840,485,568,400
  5. Step 5: Solve for x
    x = 840,485,568,400/431,174
  6. Step 6: Final answer
    x = 1,949,295.57

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.