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Finding the Third Proportional to 53,154 and 72,220

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Solution

The third proportional to 53,154 and 72,220 is: 98,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,154 : 72,220 = 72,220 : x
  2. Step 2: Convert to fraction form
    53,154/72,220 = 72,220/x
  3. Step 3: Cross multiply
    53,154x = 72,220 × 72,220
  4. Step 4: Simplify right side
    53,154x = 5,215,728,400
  5. Step 5: Solve for x
    x = 5,215,728,400/53,154
  6. Step 6: Final answer
    x = 98,124.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.