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Finding the Third Proportional to 293,890 and 439,695

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Solution

The third proportional to 293,890 and 439,695 is: 657,836.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,890 : 439,695 = 439,695 : x
  2. Step 2: Convert to fraction form
    293,890/439,695 = 439,695/x
  3. Step 3: Cross multiply
    293,890x = 439,695 × 439,695
  4. Step 4: Simplify right side
    293,890x = 193,331,693,025
  5. Step 5: Solve for x
    x = 193,331,693,025/293,890
  6. Step 6: Final answer
    x = 657,836.92

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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.