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Finding the Third Proportional to 53,280 and 108,393.75

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Solution

The third proportional to 53,280 and 108,393.75 is: 220,518.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,280 : 108,393.75 = 108,393.75 : x
  2. Step 2: Convert to fraction form
    53,280/108,393.75 = 108,393.75/x
  3. Step 3: Cross multiply
    53,280x = 108,393.75 × 108,393.75
  4. Step 4: Simplify right side
    53,280x = 11,749,205,039.06
  5. Step 5: Solve for x
    x = 11,749,205,039.06/53,280
  6. Step 6: Final answer
    x = 220,518.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.