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Finding the Third Proportional to 27,905 and 39,030

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Solution

The third proportional to 27,905 and 39,030 is: 54,590.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,905 : 39,030 = 39,030 : x
  2. Step 2: Convert to fraction form
    27,905/39,030 = 39,030/x
  3. Step 3: Cross multiply
    27,905x = 39,030 × 39,030
  4. Step 4: Simplify right side
    27,905x = 1,523,340,900
  5. Step 5: Solve for x
    x = 1,523,340,900/27,905
  6. Step 6: Final answer
    x = 54,590.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.