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Finding the Third Proportional to 215,129 and 473,152

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Solution

The third proportional to 215,129 and 473,152 is: 1,040,644.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,129 : 473,152 = 473,152 : x
  2. Step 2: Convert to fraction form
    215,129/473,152 = 473,152/x
  3. Step 3: Cross multiply
    215,129x = 473,152 × 473,152
  4. Step 4: Simplify right side
    215,129x = 223,872,815,104
  5. Step 5: Solve for x
    x = 223,872,815,104/215,129
  6. Step 6: Final answer
    x = 1,040,644.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.