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Finding the Third Proportional to 420,553.50 and 604,514.25

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Solution

The third proportional to 420,553.50 and 604,514.25 is: 868,944.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,553.50 : 604,514.25 = 604,514.25 : x
  2. Step 2: Convert to fraction form
    420,553.50/604,514.25 = 604,514.25/x
  3. Step 3: Cross multiply
    420,553.50x = 604,514.25 × 604,514.25
  4. Step 4: Simplify right side
    420,553.50x = 365,437,478,453.06
  5. Step 5: Solve for x
    x = 365,437,478,453.06/420,553.50
  6. Step 6: Final answer
    x = 868,944.09

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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.