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Finding the Third Proportional to 81,428 and 176,032

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Solution

The third proportional to 81,428 and 176,032 is: 380,548.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,428 : 176,032 = 176,032 : x
  2. Step 2: Convert to fraction form
    81,428/176,032 = 176,032/x
  3. Step 3: Cross multiply
    81,428x = 176,032 × 176,032
  4. Step 4: Simplify right side
    81,428x = 30,987,265,024
  5. Step 5: Solve for x
    x = 30,987,265,024/81,428
  6. Step 6: Final answer
    x = 380,548.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.