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Finding the Third Proportional to 300,102 and 475,209

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Solution

The third proportional to 300,102 and 475,209 is: 752,489.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,102 : 475,209 = 475,209 : x
  2. Step 2: Convert to fraction form
    300,102/475,209 = 475,209/x
  3. Step 3: Cross multiply
    300,102x = 475,209 × 475,209
  4. Step 4: Simplify right side
    300,102x = 225,823,593,681
  5. Step 5: Solve for x
    x = 225,823,593,681/300,102
  6. Step 6: Final answer
    x = 752,489.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.