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Finding the Third Proportional to 489,318 and 749,529

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Solution

The third proportional to 489,318 and 749,529 is: 1,148,115.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,318 : 749,529 = 749,529 : x
  2. Step 2: Convert to fraction form
    489,318/749,529 = 749,529/x
  3. Step 3: Cross multiply
    489,318x = 749,529 × 749,529
  4. Step 4: Simplify right side
    489,318x = 561,793,721,841
  5. Step 5: Solve for x
    x = 561,793,721,841/489,318
  6. Step 6: Final answer
    x = 1,148,115.79

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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.