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Finding the Third Proportional to 415,726 and 669,529

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Solution

The third proportional to 415,726 and 669,529 is: 1,078,280.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,726 : 669,529 = 669,529 : x
  2. Step 2: Convert to fraction form
    415,726/669,529 = 669,529/x
  3. Step 3: Cross multiply
    415,726x = 669,529 × 669,529
  4. Step 4: Simplify right side
    415,726x = 448,269,081,841
  5. Step 5: Solve for x
    x = 448,269,081,841/415,726
  6. Step 6: Final answer
    x = 1,078,280.12

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.