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Finding the Third Proportional to 489,360 and 689,124

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Solution

The third proportional to 489,360 and 689,124 is: 970,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,360 : 689,124 = 689,124 : x
  2. Step 2: Convert to fraction form
    489,360/689,124 = 689,124/x
  3. Step 3: Cross multiply
    489,360x = 689,124 × 689,124
  4. Step 4: Simplify right side
    489,360x = 474,891,887,376
  5. Step 5: Solve for x
    x = 474,891,887,376/489,360
  6. Step 6: Final answer
    x = 970,434.62

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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.