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Finding the Third Proportional to 38,985 and 84,207

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Solution

The third proportional to 38,985 and 84,207 is: 181,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,985 : 84,207 = 84,207 : x
  2. Step 2: Convert to fraction form
    38,985/84,207 = 84,207/x
  3. Step 3: Cross multiply
    38,985x = 84,207 × 84,207
  4. Step 4: Simplify right side
    38,985x = 7,090,818,849
  5. Step 5: Solve for x
    x = 7,090,818,849/38,985
  6. Step 6: Final answer
    x = 181,885.82

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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.