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Finding the Third Proportional to 420,412 and 604,374

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Solution

The third proportional to 420,412 and 604,374 is: 868,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,412 : 604,374 = 604,374 : x
  2. Step 2: Convert to fraction form
    420,412/604,374 = 604,374/x
  3. Step 3: Cross multiply
    420,412x = 604,374 × 604,374
  4. Step 4: Simplify right side
    420,412x = 365,267,931,876
  5. Step 5: Solve for x
    x = 365,267,931,876/420,412
  6. Step 6: Final answer
    x = 868,833.27

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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.