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Finding the Third Proportional to 293,403 and 434,775

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Solution

The third proportional to 293,403 and 434,775 is: 644,265.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,403 : 434,775 = 434,775 : x
  2. Step 2: Convert to fraction form
    293,403/434,775 = 434,775/x
  3. Step 3: Cross multiply
    293,403x = 434,775 × 434,775
  4. Step 4: Simplify right side
    293,403x = 189,029,300,625
  5. Step 5: Solve for x
    x = 189,029,300,625/293,403
  6. Step 6: Final answer
    x = 644,265.06

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.