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Finding the Third Proportional to 489,249 and 688,977

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Solution

The third proportional to 489,249 and 688,977 is: 970,240.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,249 : 688,977 = 688,977 : x
  2. Step 2: Convert to fraction form
    489,249/688,977 = 688,977/x
  3. Step 3: Cross multiply
    489,249x = 688,977 × 688,977
  4. Step 4: Simplify right side
    489,249x = 474,689,306,529
  5. Step 5: Solve for x
    x = 474,689,306,529/489,249
  6. Step 6: Final answer
    x = 970,240.73

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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.