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Finding the Third Proportional to 489,275.44 and 689,011.31

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Solution

The third proportional to 489,275.44 and 689,011.31 is: 970,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,275.44 : 689,011.31 = 689,011.31 : x
  2. Step 2: Convert to fraction form
    489,275.44/689,011.31 = 689,011.31/x
  3. Step 3: Cross multiply
    489,275.44x = 689,011.31 × 689,011.31
  4. Step 4: Simplify right side
    489,275.44x = 474,736,588,752.97
  5. Step 5: Solve for x
    x = 474,736,588,752.97/489,275.44
  6. Step 6: Final answer
    x = 970,284.94

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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.