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Finding the Third Proportional to 420,180 and 604,026

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Solution

The third proportional to 420,180 and 604,026 is: 868,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,180 : 604,026 = 604,026 : x
  2. Step 2: Convert to fraction form
    420,180/604,026 = 604,026/x
  3. Step 3: Cross multiply
    420,180x = 604,026 × 604,026
  4. Step 4: Simplify right side
    420,180x = 364,847,408,676
  5. Step 5: Solve for x
    x = 364,847,408,676/420,180
  6. Step 6: Final answer
    x = 868,312.17

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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.