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Finding the Third Proportional to 63,135 and 140,284

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Solution

The third proportional to 63,135 and 140,284 is: 311,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,135 : 140,284 = 140,284 : x
  2. Step 2: Convert to fraction form
    63,135/140,284 = 140,284/x
  3. Step 3: Cross multiply
    63,135x = 140,284 × 140,284
  4. Step 4: Simplify right side
    63,135x = 19,679,600,656
  5. Step 5: Solve for x
    x = 19,679,600,656/63,135
  6. Step 6: Final answer
    x = 311,706.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.