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Finding the Third Proportional to 63,454 and 136,478

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Solution

The third proportional to 63,454 and 136,478 is: 293,539.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,454 : 136,478 = 136,478 : x
  2. Step 2: Convert to fraction form
    63,454/136,478 = 136,478/x
  3. Step 3: Cross multiply
    63,454x = 136,478 × 136,478
  4. Step 4: Simplify right side
    63,454x = 18,626,244,484
  5. Step 5: Solve for x
    x = 18,626,244,484/63,454
  6. Step 6: Final answer
    x = 293,539.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.