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Finding the Third Proportional to 489,272 and 689,000

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Solution

The third proportional to 489,272 and 689,000 is: 970,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,272 : 689,000 = 689,000 : x
  2. Step 2: Convert to fraction form
    489,272/689,000 = 689,000/x
  3. Step 3: Cross multiply
    489,272x = 689,000 × 689,000
  4. Step 4: Simplify right side
    489,272x = 474,721,000,000
  5. Step 5: Solve for x
    x = 474,721,000,000/489,272
  6. Step 6: Final answer
    x = 970,259.90

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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.