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Finding the Third Proportional to 420,558 and 604,521

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Solution

The third proportional to 420,558 and 604,521 is: 868,954.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,558 : 604,521 = 604,521 : x
  2. Step 2: Convert to fraction form
    420,558/604,521 = 604,521/x
  3. Step 3: Cross multiply
    420,558x = 604,521 × 604,521
  4. Step 4: Simplify right side
    420,558x = 365,445,639,441
  5. Step 5: Solve for x
    x = 365,445,639,441/420,558
  6. Step 6: Final answer
    x = 868,954.20

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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.