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Finding the Third Proportional to 172,032 and 377,972

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Solution

The third proportional to 172,032 and 377,972 is: 830,443.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,032 : 377,972 = 377,972 : x
  2. Step 2: Convert to fraction form
    172,032/377,972 = 377,972/x
  3. Step 3: Cross multiply
    172,032x = 377,972 × 377,972
  4. Step 4: Simplify right side
    172,032x = 142,862,832,784
  5. Step 5: Solve for x
    x = 142,862,832,784/172,032
  6. Step 6: Final answer
    x = 830,443.36

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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.