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Finding the Third Proportional to 490,129 and 749,611

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Solution

The third proportional to 490,129 and 749,611 is: 1,146,466.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,129 : 749,611 = 749,611 : x
  2. Step 2: Convert to fraction form
    490,129/749,611 = 749,611/x
  3. Step 3: Cross multiply
    490,129x = 749,611 × 749,611
  4. Step 4: Simplify right side
    490,129x = 561,916,651,321
  5. Step 5: Solve for x
    x = 561,916,651,321/490,129
  6. Step 6: Final answer
    x = 1,146,466.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.