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Finding the Third Proportional to 7,839 and 9,913.50

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Solution

The third proportional to 7,839 and 9,913.50 is: 12,536.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,839 : 9,913.50 = 9,913.50 : x
  2. Step 2: Convert to fraction form
    7,839/9,913.50 = 9,913.50/x
  3. Step 3: Cross multiply
    7,839x = 9,913.50 × 9,913.50
  4. Step 4: Simplify right side
    7,839x = 98,277,482.25
  5. Step 5: Solve for x
    x = 98,277,482.25/7,839
  6. Step 6: Final answer
    x = 12,536.99

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Why These Related Problems?

These problems maintain the same ratio (1.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.