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Finding the Third Proportional to 129,640 and 211,688

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Solution

The third proportional to 129,640 and 211,688 is: 345,663.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,640 : 211,688 = 211,688 : x
  2. Step 2: Convert to fraction form
    129,640/211,688 = 211,688/x
  3. Step 3: Cross multiply
    129,640x = 211,688 × 211,688
  4. Step 4: Simplify right side
    129,640x = 44,811,809,344
  5. Step 5: Solve for x
    x = 44,811,809,344/129,640
  6. Step 6: Final answer
    x = 345,663.45

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.