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Finding the Third Proportional to 6,839.16 and 9,779.91

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Solution

The third proportional to 6,839.16 and 9,779.91 is: 13,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.16 : 9,779.91 = 9,779.91 : x
  2. Step 2: Convert to fraction form
    6,839.16/9,779.91 = 9,779.91/x
  3. Step 3: Cross multiply
    6,839.16x = 9,779.91 × 9,779.91
  4. Step 4: Simplify right side
    6,839.16x = 95,646,566.26
  5. Step 5: Solve for x
    x = 95,646,566.26/6,839.16
  6. Step 6: Final answer
    x = 13,985.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.