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Finding the Third Proportional to 489,445 and 689,259

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Solution

The third proportional to 489,445 and 689,259 is: 970,646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,445 : 689,259 = 689,259 : x
  2. Step 2: Convert to fraction form
    489,445/689,259 = 689,259/x
  3. Step 3: Cross multiply
    489,445x = 689,259 × 689,259
  4. Step 4: Simplify right side
    489,445x = 475,077,969,081
  5. Step 5: Solve for x
    x = 475,077,969,081/489,445
  6. Step 6: Final answer
    x = 970,646.28

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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.