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Finding the Third Proportional to 420,557 and 604,519

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Solution

The third proportional to 420,557 and 604,519 is: 868,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,557 : 604,519 = 604,519 : x
  2. Step 2: Convert to fraction form
    420,557/604,519 = 604,519/x
  3. Step 3: Cross multiply
    420,557x = 604,519 × 604,519
  4. Step 4: Simplify right side
    420,557x = 365,443,221,361
  5. Step 5: Solve for x
    x = 365,443,221,361/420,557
  6. Step 6: Final answer
    x = 868,950.51

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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.