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Finding the Third Proportional to 557,080 and 836,856

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Solution

The third proportional to 557,080 and 836,856 is: 1,257,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,080 : 836,856 = 836,856 : x
  2. Step 2: Convert to fraction form
    557,080/836,856 = 836,856/x
  3. Step 3: Cross multiply
    557,080x = 836,856 × 836,856
  4. Step 4: Simplify right side
    557,080x = 700,327,964,736
  5. Step 5: Solve for x
    x = 700,327,964,736/557,080
  6. Step 6: Final answer
    x = 1,257,140.74

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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.