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Finding the Third Proportional to 516,108 and 821,778

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Solution

The third proportional to 516,108 and 821,778 is: 1,308,484.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,108 : 821,778 = 821,778 : x
  2. Step 2: Convert to fraction form
    516,108/821,778 = 821,778/x
  3. Step 3: Cross multiply
    516,108x = 821,778 × 821,778
  4. Step 4: Simplify right side
    516,108x = 675,319,081,284
  5. Step 5: Solve for x
    x = 675,319,081,284/516,108
  6. Step 6: Final answer
    x = 1,308,484.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.