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Finding the Third Proportional to 63,378 and 136,690

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Solution

The third proportional to 63,378 and 136,690 is: 294,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,378 : 136,690 = 136,690 : x
  2. Step 2: Convert to fraction form
    63,378/136,690 = 136,690/x
  3. Step 3: Cross multiply
    63,378x = 136,690 × 136,690
  4. Step 4: Simplify right side
    63,378x = 18,684,156,100
  5. Step 5: Solve for x
    x = 18,684,156,100/63,378
  6. Step 6: Final answer
    x = 294,805.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.