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Finding the Third Proportional to 489,866 and 749,344

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Solution

The third proportional to 489,866 and 749,344 is: 1,146,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,866 : 749,344 = 749,344 : x
  2. Step 2: Convert to fraction form
    489,866/749,344 = 749,344/x
  3. Step 3: Cross multiply
    489,866x = 749,344 × 749,344
  4. Step 4: Simplify right side
    489,866x = 561,516,430,336
  5. Step 5: Solve for x
    x = 561,516,430,336/489,866
  6. Step 6: Final answer
    x = 1,146,265.37

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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.