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Finding the Third Proportional to 419,658 and 665,523

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Solution

The third proportional to 419,658 and 665,523 is: 1,055,432.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,658 : 665,523 = 665,523 : x
  2. Step 2: Convert to fraction form
    419,658/665,523 = 665,523/x
  3. Step 3: Cross multiply
    419,658x = 665,523 × 665,523
  4. Step 4: Simplify right side
    419,658x = 442,920,863,529
  5. Step 5: Solve for x
    x = 442,920,863,529/419,658
  6. Step 6: Final answer
    x = 1,055,432.91

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.