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Finding the Third Proportional to 489,974 and 749,176

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Solution

The third proportional to 489,974 and 749,176 is: 1,145,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,974 : 749,176 = 749,176 : x
  2. Step 2: Convert to fraction form
    489,974/749,176 = 749,176/x
  3. Step 3: Cross multiply
    489,974x = 749,176 × 749,176
  4. Step 4: Simplify right side
    489,974x = 561,264,678,976
  5. Step 5: Solve for x
    x = 561,264,678,976/489,974
  6. Step 6: Final answer
    x = 1,145,498.90

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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.