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Finding the Third Proportional to 120,497.91 and 261,738.28

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Solution

The third proportional to 120,497.91 and 261,738.28 is: 568,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,497.91 : 261,738.28 = 261,738.28 : x
  2. Step 2: Convert to fraction form
    120,497.91/261,738.28 = 261,738.28/x
  3. Step 3: Cross multiply
    120,497.91x = 261,738.28 × 261,738.28
  4. Step 4: Simplify right side
    120,497.91x = 68,506,927,871.70
  5. Step 5: Solve for x
    x = 68,506,927,871.70/120,497.91
  6. Step 6: Final answer
    x = 568,532.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.