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Finding the Third Proportional to 489,864 and 749,341

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Solution

The third proportional to 489,864 and 749,341 is: 1,146,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,864 : 749,341 = 749,341 : x
  2. Step 2: Convert to fraction form
    489,864/749,341 = 749,341/x
  3. Step 3: Cross multiply
    489,864x = 749,341 × 749,341
  4. Step 4: Simplify right side
    489,864x = 561,511,934,281
  5. Step 5: Solve for x
    x = 561,511,934,281/489,864
  6. Step 6: Final answer
    x = 1,146,260.87

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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.