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Finding the Third Proportional to 7,624 and 12,556

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Solution

The third proportional to 7,624 and 12,556 is: 20,678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624 : 12,556 = 12,556 : x
  2. Step 2: Convert to fraction form
    7,624/12,556 = 12,556/x
  3. Step 3: Cross multiply
    7,624x = 12,556 × 12,556
  4. Step 4: Simplify right side
    7,624x = 157,653,136
  5. Step 5: Solve for x
    x = 157,653,136/7,624
  6. Step 6: Final answer
    x = 20,678.53

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.