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Finding the Third Proportional to 40,128 and 63,596.25

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Solution

The third proportional to 40,128 and 63,596.25 is: 100,789.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,128 : 63,596.25 = 63,596.25 : x
  2. Step 2: Convert to fraction form
    40,128/63,596.25 = 63,596.25/x
  3. Step 3: Cross multiply
    40,128x = 63,596.25 × 63,596.25
  4. Step 4: Simplify right side
    40,128x = 4,044,483,014.06
  5. Step 5: Solve for x
    x = 4,044,483,014.06/40,128
  6. Step 6: Final answer
    x = 100,789.55

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.