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Finding the Third Proportional to 420,408 and 604,368

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Solution

The third proportional to 420,408 and 604,368 is: 868,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,408 : 604,368 = 604,368 : x
  2. Step 2: Convert to fraction form
    420,408/604,368 = 604,368/x
  3. Step 3: Cross multiply
    420,408x = 604,368 × 604,368
  4. Step 4: Simplify right side
    420,408x = 365,260,679,424
  5. Step 5: Solve for x
    x = 365,260,679,424/420,408
  6. Step 6: Final answer
    x = 868,824.28

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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.