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Finding the Third Proportional to 420,413 and 604,375

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Solution

The third proportional to 420,413 and 604,375 is: 868,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,413 : 604,375 = 604,375 : x
  2. Step 2: Convert to fraction form
    420,413/604,375 = 604,375/x
  3. Step 3: Cross multiply
    420,413x = 604,375 × 604,375
  4. Step 4: Simplify right side
    420,413x = 365,269,140,625
  5. Step 5: Solve for x
    x = 365,269,140,625/420,413
  6. Step 6: Final answer
    x = 868,834.08

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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.