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Finding the Third Proportional to 19,546.31 and 42,783.19

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Solution

The third proportional to 19,546.31 and 42,783.19 is: 93,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.31 : 42,783.19 = 42,783.19 : x
  2. Step 2: Convert to fraction form
    19,546.31/42,783.19 = 42,783.19/x
  3. Step 3: Cross multiply
    19,546.31x = 42,783.19 × 42,783.19
  4. Step 4: Simplify right side
    19,546.31x = 1,830,401,132.66
  5. Step 5: Solve for x
    x = 1,830,401,132.66/19,546.31
  6. Step 6: Final answer
    x = 93,644.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.