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Finding the Third Proportional to 53,518 and 83,140

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Solution

The third proportional to 53,518 and 83,140 is: 129,157.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,518 : 83,140 = 83,140 : x
  2. Step 2: Convert to fraction form
    53,518/83,140 = 83,140/x
  3. Step 3: Cross multiply
    53,518x = 83,140 × 83,140
  4. Step 4: Simplify right side
    53,518x = 6,912,259,600
  5. Step 5: Solve for x
    x = 6,912,259,600/53,518
  6. Step 6: Final answer
    x = 129,157.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.