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Finding the Third Proportional to 19,810 and 43,507

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Solution

The third proportional to 19,810 and 43,507 is: 95,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,810 : 43,507 = 43,507 : x
  2. Step 2: Convert to fraction form
    19,810/43,507 = 43,507/x
  3. Step 3: Cross multiply
    19,810x = 43,507 × 43,507
  4. Step 4: Simplify right side
    19,810x = 1,892,859,049
  5. Step 5: Solve for x
    x = 1,892,859,049/19,810
  6. Step 6: Final answer
    x = 95,550.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.