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Finding the Third Proportional to 420,410 and 604,371

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Solution

The third proportional to 420,410 and 604,371 is: 868,828.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,410 : 604,371 = 604,371 : x
  2. Step 2: Convert to fraction form
    420,410/604,371 = 604,371/x
  3. Step 3: Cross multiply
    420,410x = 604,371 × 604,371
  4. Step 4: Simplify right side
    420,410x = 365,264,305,641
  5. Step 5: Solve for x
    x = 365,264,305,641/420,410
  6. Step 6: Final answer
    x = 868,828.78

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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.