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Finding the Third Proportional to 300,117.75 and 457,799.06

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Solution

The third proportional to 300,117.75 and 457,799.06 is: 698,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,117.75 : 457,799.06 = 457,799.06 : x
  2. Step 2: Convert to fraction form
    300,117.75/457,799.06 = 457,799.06/x
  3. Step 3: Cross multiply
    300,117.75x = 457,799.06 × 457,799.06
  4. Step 4: Simplify right side
    300,117.75x = 209,579,981,625.88
  5. Step 5: Solve for x
    x = 209,579,981,625.88/300,117.75
  6. Step 6: Final answer
    x = 698,325.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.