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Finding the Third Proportional to 489,454 and 689,272

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Solution

The third proportional to 489,454 and 689,272 is: 970,665.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,454 : 689,272 = 689,272 : x
  2. Step 2: Convert to fraction form
    489,454/689,272 = 689,272/x
  3. Step 3: Cross multiply
    489,454x = 689,272 × 689,272
  4. Step 4: Simplify right side
    489,454x = 475,095,889,984
  5. Step 5: Solve for x
    x = 475,095,889,984/489,454
  6. Step 6: Final answer
    x = 970,665.05

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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.