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Finding the Third Proportional to 489,320 and 689,052

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Solution

The third proportional to 489,320 and 689,052 is: 970,311.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,320 : 689,052 = 689,052 : x
  2. Step 2: Convert to fraction form
    489,320/689,052 = 689,052/x
  3. Step 3: Cross multiply
    489,320x = 689,052 × 689,052
  4. Step 4: Simplify right side
    489,320x = 474,792,658,704
  5. Step 5: Solve for x
    x = 474,792,658,704/489,320
  6. Step 6: Final answer
    x = 970,311.16

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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.