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Finding the Third Proportional to 571,118 and 856,785

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Solution

The third proportional to 571,118 and 856,785 is: 1,285,339.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,118 : 856,785 = 856,785 : x
  2. Step 2: Convert to fraction form
    571,118/856,785 = 856,785/x
  3. Step 3: Cross multiply
    571,118x = 856,785 × 856,785
  4. Step 4: Simplify right side
    571,118x = 734,080,536,225
  5. Step 5: Solve for x
    x = 734,080,536,225/571,118
  6. Step 6: Final answer
    x = 1,285,339.52

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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.