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Finding the Third Proportional to 85,872 and 183,072

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Solution

The third proportional to 85,872 and 183,072 is: 390,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,872 : 183,072 = 183,072 : x
  2. Step 2: Convert to fraction form
    85,872/183,072 = 183,072/x
  3. Step 3: Cross multiply
    85,872x = 183,072 × 183,072
  4. Step 4: Simplify right side
    85,872x = 33,515,357,184
  5. Step 5: Solve for x
    x = 33,515,357,184/85,872
  6. Step 6: Final answer
    x = 390,294.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.