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Finding the Third Proportional to 7,688 and 12,332

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Solution

The third proportional to 7,688 and 12,332 is: 19,781.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688 : 12,332 = 12,332 : x
  2. Step 2: Convert to fraction form
    7,688/12,332 = 12,332/x
  3. Step 3: Cross multiply
    7,688x = 12,332 × 12,332
  4. Step 4: Simplify right side
    7,688x = 152,078,224
  5. Step 5: Solve for x
    x = 152,078,224/7,688
  6. Step 6: Final answer
    x = 19,781.25

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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.