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Finding the Third Proportional to 390,268 and 811,152

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Solution

The third proportional to 390,268 and 811,152 is: 1,685,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,268 : 811,152 = 811,152 : x
  2. Step 2: Convert to fraction form
    390,268/811,152 = 811,152/x
  3. Step 3: Cross multiply
    390,268x = 811,152 × 811,152
  4. Step 4: Simplify right side
    390,268x = 657,967,567,104
  5. Step 5: Solve for x
    x = 657,967,567,104/390,268
  6. Step 6: Final answer
    x = 1,685,937.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.