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Finding the Third Proportional to 297,698 and 429,555

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Solution

The third proportional to 297,698 and 429,555 is: 619,814.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,698 : 429,555 = 429,555 : x
  2. Step 2: Convert to fraction form
    297,698/429,555 = 429,555/x
  3. Step 3: Cross multiply
    297,698x = 429,555 × 429,555
  4. Step 4: Simplify right side
    297,698x = 184,517,498,025
  5. Step 5: Solve for x
    x = 184,517,498,025/297,698
  6. Step 6: Final answer
    x = 619,814.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.