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Finding the Third Proportional to 420,404 and 604,362

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Solution

The third proportional to 420,404 and 604,362 is: 868,815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,404 : 604,362 = 604,362 : x
  2. Step 2: Convert to fraction form
    420,404/604,362 = 604,362/x
  3. Step 3: Cross multiply
    420,404x = 604,362 × 604,362
  4. Step 4: Simplify right side
    420,404x = 365,253,427,044
  5. Step 5: Solve for x
    x = 365,253,427,044/420,404
  6. Step 6: Final answer
    x = 868,815.30

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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.