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Finding the Third Proportional to 218,357 and 475,157

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Solution

The third proportional to 218,357 and 475,157 is: 1,033,968.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,357 : 475,157 = 475,157 : x
  2. Step 2: Convert to fraction form
    218,357/475,157 = 475,157/x
  3. Step 3: Cross multiply
    218,357x = 475,157 × 475,157
  4. Step 4: Simplify right side
    218,357x = 225,774,174,649
  5. Step 5: Solve for x
    x = 225,774,174,649/218,357
  6. Step 6: Final answer
    x = 1,033,968.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.