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Finding the Third Proportional to 7,860 and 18,770

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Solution

The third proportional to 7,860 and 18,770 is: 44,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860 : 18,770 = 18,770 : x
  2. Step 2: Convert to fraction form
    7,860/18,770 = 18,770/x
  3. Step 3: Cross multiply
    7,860x = 18,770 × 18,770
  4. Step 4: Simplify right side
    7,860x = 352,312,900
  5. Step 5: Solve for x
    x = 352,312,900/7,860
  6. Step 6: Final answer
    x = 44,823.52

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.