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Finding the Third Proportional to 489,300.75 and 689,049

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Solution

The third proportional to 489,300.75 and 689,049 is: 970,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,300.75 : 689,049 = 689,049 : x
  2. Step 2: Convert to fraction form
    489,300.75/689,049 = 689,049/x
  3. Step 3: Cross multiply
    489,300.75x = 689,049 × 689,049
  4. Step 4: Simplify right side
    489,300.75x = 474,788,524,401
  5. Step 5: Solve for x
    x = 474,788,524,401/489,300.75
  6. Step 6: Final answer
    x = 970,340.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.