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Finding the Third Proportional to 336,853.69 and 689,423.91

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Solution

The third proportional to 336,853.69 and 689,423.91 is: 1,411,014.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,853.69 : 689,423.91 = 689,423.91 : x
  2. Step 2: Convert to fraction form
    336,853.69/689,423.91 = 689,423.91/x
  3. Step 3: Cross multiply
    336,853.69x = 689,423.91 × 689,423.91
  4. Step 4: Simplify right side
    336,853.69x = 475,305,322,509.01
  5. Step 5: Solve for x
    x = 475,305,322,509.01/336,853.69
  6. Step 6: Final answer
    x = 1,411,014.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.