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Finding the Third Proportional to 62,320 and 135,211

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Solution

The third proportional to 62,320 and 135,211 is: 293,357.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,320 : 135,211 = 135,211 : x
  2. Step 2: Convert to fraction form
    62,320/135,211 = 135,211/x
  3. Step 3: Cross multiply
    62,320x = 135,211 × 135,211
  4. Step 4: Simplify right side
    62,320x = 18,282,014,521
  5. Step 5: Solve for x
    x = 18,282,014,521/62,320
  6. Step 6: Final answer
    x = 293,357.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.