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Finding the Third Proportional to 52,320 and 79,128

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Solution

The third proportional to 52,320 and 79,128 is: 119,672.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,320 : 79,128 = 79,128 : x
  2. Step 2: Convert to fraction form
    52,320/79,128 = 79,128/x
  3. Step 3: Cross multiply
    52,320x = 79,128 × 79,128
  4. Step 4: Simplify right side
    52,320x = 6,261,240,384
  5. Step 5: Solve for x
    x = 6,261,240,384/52,320
  6. Step 6: Final answer
    x = 119,672.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.