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Finding the Third Proportional to 297,443 and 424,015

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Solution

The third proportional to 297,443 and 424,015 is: 604,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,443 : 424,015 = 424,015 : x
  2. Step 2: Convert to fraction form
    297,443/424,015 = 424,015/x
  3. Step 3: Cross multiply
    297,443x = 424,015 × 424,015
  4. Step 4: Simplify right side
    297,443x = 179,788,720,225
  5. Step 5: Solve for x
    x = 179,788,720,225/297,443
  6. Step 6: Final answer
    x = 604,447.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.