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Finding the Third Proportional to 7,774 and 12,402

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Solution

The third proportional to 7,774 and 12,402 is: 19,785.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774 : 12,402 = 12,402 : x
  2. Step 2: Convert to fraction form
    7,774/12,402 = 12,402/x
  3. Step 3: Cross multiply
    7,774x = 12,402 × 12,402
  4. Step 4: Simplify right side
    7,774x = 153,809,604
  5. Step 5: Solve for x
    x = 153,809,604/7,774
  6. Step 6: Final answer
    x = 19,785.13

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.