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Finding the Third Proportional to 489,128 and 738,624

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Solution

The third proportional to 489,128 and 738,624 is: 1,115,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,128 : 738,624 = 738,624 : x
  2. Step 2: Convert to fraction form
    489,128/738,624 = 738,624/x
  3. Step 3: Cross multiply
    489,128x = 738,624 × 738,624
  4. Step 4: Simplify right side
    489,128x = 545,565,413,376
  5. Step 5: Solve for x
    x = 545,565,413,376/489,128
  6. Step 6: Final answer
    x = 1,115,383.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.