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Finding the Third Proportional to 200,660.06 and 310,568.91

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Solution

The third proportional to 200,660.06 and 310,568.91 is: 480,678.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,660.06 : 310,568.91 = 310,568.91 : x
  2. Step 2: Convert to fraction form
    200,660.06/310,568.91 = 310,568.91/x
  3. Step 3: Cross multiply
    200,660.06x = 310,568.91 × 310,568.91
  4. Step 4: Simplify right side
    200,660.06x = 96,453,045,529.32
  5. Step 5: Solve for x
    x = 96,453,045,529.32/200,660.06
  6. Step 6: Final answer
    x = 480,678.84

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.