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Finding the Third Proportional to 402,808 and 856,592

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Solution

The third proportional to 402,808 and 856,592 is: 1,821,587.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,808 : 856,592 = 856,592 : x
  2. Step 2: Convert to fraction form
    402,808/856,592 = 856,592/x
  3. Step 3: Cross multiply
    402,808x = 856,592 × 856,592
  4. Step 4: Simplify right side
    402,808x = 733,749,854,464
  5. Step 5: Solve for x
    x = 733,749,854,464/402,808
  6. Step 6: Final answer
    x = 1,821,587.09

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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.