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Finding the Third Proportional to 7,779.80 and 12,962.53

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Solution

The third proportional to 7,779.80 and 12,962.53 is: 21,597.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.80 : 12,962.53 = 12,962.53 : x
  2. Step 2: Convert to fraction form
    7,779.80/12,962.53 = 12,962.53/x
  3. Step 3: Cross multiply
    7,779.80x = 12,962.53 × 12,962.53
  4. Step 4: Simplify right side
    7,779.80x = 168,027,216.41
  5. Step 5: Solve for x
    x = 168,027,216.41/7,779.80
  6. Step 6: Final answer
    x = 21,597.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.