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Finding the Third Proportional to 420,450 and 604,377

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Solution

The third proportional to 420,450 and 604,377 is: 868,763.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,450 : 604,377 = 604,377 : x
  2. Step 2: Convert to fraction form
    420,450/604,377 = 604,377/x
  3. Step 3: Cross multiply
    420,450x = 604,377 × 604,377
  4. Step 4: Simplify right side
    420,450x = 365,271,558,129
  5. Step 5: Solve for x
    x = 365,271,558,129/420,450
  6. Step 6: Final answer
    x = 868,763.37

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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.