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Finding the Third Proportional to 53,220 and 78,800

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Solution

The third proportional to 53,220 and 78,800 is: 116,674.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,220 : 78,800 = 78,800 : x
  2. Step 2: Convert to fraction form
    53,220/78,800 = 78,800/x
  3. Step 3: Cross multiply
    53,220x = 78,800 × 78,800
  4. Step 4: Simplify right side
    53,220x = 6,209,440,000
  5. Step 5: Solve for x
    x = 6,209,440,000/53,220
  6. Step 6: Final answer
    x = 116,674.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.