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Finding the Third Proportional to 402,920 and 853,696

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Solution

The third proportional to 402,920 and 853,696 is: 1,808,788.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,920 : 853,696 = 853,696 : x
  2. Step 2: Convert to fraction form
    402,920/853,696 = 853,696/x
  3. Step 3: Cross multiply
    402,920x = 853,696 × 853,696
  4. Step 4: Simplify right side
    402,920x = 728,796,860,416
  5. Step 5: Solve for x
    x = 728,796,860,416/402,920
  6. Step 6: Final answer
    x = 1,808,788.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.